Recent questions in Olympiad-Math

If $\bigtriangleup PQR \cong \bigtriangleup MNL$ ( congruent to ) . Which side of $\bigtriangleup PQR$ is equal to the side of $LM$ of $\bigtriangleup MNL$

asked Oct 14, 2015 by pady_1

1 answer

Congruent figures are equal in size. State true or False

asked Oct 14, 2015 by pady_1

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In triangles $ABC$ and $PQR,$ $\overline{AB}= \overline{PR},\overline{BC} = \overline{RQ}$ and $\overline{AC} = \overline{PQ}$. $\bigtriangleup ABC$ is congruent to

asked Oct 14, 2015 by pady_1

1 answer

Is "angle-angle-angle", a valid rule for proving triangles congruent?

asked Oct 14, 2015 by pady_1

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Two plane figures have same area. Then they are

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\bigtriangleup ABC and \bigtriangleup DEF are congruent. Sum of the areas of the triangles is 34 sq.units. Find the area of \bigtriangleup DEF.

asked Oct 14, 2015 by pady_1

1 answer

\bigtriangleupPQR\cong \bigtriangleup ABC. Which of the following is correct?

asked Oct 14, 2015 by pady_1

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Which of the following cannot be used to prove that two triangles are congruent?

asked Oct 14, 2015 by pady_1

1 answer

Polygon ABCD is congruent to polygon A'B'C'D'. If angle A corresponds to angle A',the value of angle A' is 5x - 65 and the value of angle A is 2x - 5, find angle A.

asked Oct 14, 2015 by pady_1

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If three sides of one triangle are congruent , respectively to the three sides of another triangle, then he 2 triangles are _________ congruent.

asked Oct 14, 2015 by pady_1

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Triangle DEF is congruent to triangle D'E'F', If EF is represented by 6x + 4, and E'F' is represented by 2x + 20,find the value of x.

asked Oct 14, 2015 by pady_1

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Triangle ABC is congruent to triangle A'B'C'. If angle C is represented by 2x - 10, and angle C' is represented by 3x - 40,find the measure of angle C.

asked Oct 14, 2015 by pady_1

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Triangle ABC is congruent to triangle DEF with \overline{AB} \cong \overline{DE} . If AB = 2x + 10, DE = 4x - 20, find the value of x.

asked Oct 14, 2015 by pady_1

1 answer

\bigtriangleup ABC \cong \bigtriangleup DEF and the perimeter of \bigtriangleup DEF is 30 inches, If the sum of two sides of \bigtriangleup ABC is 23 inches what is the length of the third side of \bigtriangleup ABC.

asked Oct 14, 2015 by pady_1

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The two legs of a right triangle measure 5 and 12. The leg and hypotenuse of another right triangle measure 12 and 13 respectively. These two triangles are congruent.

asked Oct 14, 2015 by pady_1

1 answer

If Triangle BAT is congruent to triangle FOG with BA = FO, AT = OG and BT = FG. If the sum of the measures of \angle{A} and \angle is 110 degrees, what is the degree measure of \angle{G} ?

asked Oct 14, 2015 by pady_1

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\bigtriangleup ABC \cong \bigtriangleup DEF with \angle A \cong \angle D and \angle C \cong \angle F. If AB = 10 inches . which side of \bigtriangleup DEF has the same measure

asked Oct 14, 2015 by pady_1

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Congruent figures cover each other completely?

asked Oct 14, 2015 by pady_1

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Two triangles are congruent if three sides of one triangle are respectively equal to thethree sides of the other triangle. State True or False

asked Oct 14, 2015 by pady_1

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The height of two building is 34 m and 29 m respectively. If the distance between the two building is 12 m, find the distance between their tops.

asked Oct 14, 2015 by pady_1

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A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall.

asked Oct 14, 2015 by pady_1

1 answer

Find the perimeter of a rectangle whose length is 150 m and the diagonal is 170 m.

asked Oct 14, 2015 by pady_1

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A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to reach finally at position Z. The position Z is situated at the north of X and at a distance of 60 m from X. Find the distance between X and Y.

asked Oct 14, 2015 by pady_1

1 answer

If the square of the hypotenuse of an isosceles right triangle is 128 cm^2, find the length of each side.

asked Oct 14, 2015 by pady_1

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If m\angle{ ABC} m\angle{LMN} then \angle{ABC} ______________\angle{LMN}

asked Oct 14, 2015 by pady_1

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The angles of a triangle are in the ratio 4 : 3 : 2. The smallest angle in the triangle is

asked Oct 14, 2015 by pady_1

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if the measure of the angles of a triangle are in the ratio 2:3:4, the measure of the smallest angle is

asked Oct 14, 2015 by pady_1

0 answers

In a right triangle, one of the acute angles is 2 times as large as the other acute angle. Find the measure of the two acute angles.

asked Oct 14, 2015 by pady_1

1 answer

In a certain right triangle, one of the acute angles measures $25$ degrees. What is the measure of the other acute angle?

asked Oct 14, 2015 by pady_1

1 answer

In the right triangle, the ratio of the measures of the two acute angles is 4:1. What is the measure in degrees, of the larger acute angle?

asked Oct 14, 2015 by pady_1

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Sarika is walking in north direction. After walking for 108 meters, she takes a right turn, and walks for another 144 meters. How far is she from starting point?

asked Oct 14, 2015 by pady_1

1 answer

Usha is walking in north direction. After walking for 65 meters, she takes a right turn, and walks for another 72 meters. How far is she from starting point?

asked Oct 14, 2015 by pady_1

1 answer

In a triangle if one angle is more than sum of other two angles, What is the type of this triangle?

asked Oct 14, 2015 by pady_1

1 answer

Name the triangle in which the altitude falls ouside the triangle and the median falls inside the triangle.

asked Oct 14, 2015 by pady_1

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The measurement of the two angles of a triangle are 68^{\circ}, 72^{\circ}

asked Oct 14, 2015 by pady_1

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If two of the angles in a triangle are 60^{\circ} each, then the triangle is a:

asked Oct 14, 2015 by pady_1

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The angles of a triangle are in the ratio 1:3:5 . Find the smaller angle.

asked Oct 14, 2015 by pady_1

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The acute angles of right angled triangle are in the ratio 2:1. Find the angles.

asked Oct 14, 2015 by pady_1

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An exterior angle of a triangle is $125^{\circ}$ and one of its interior angle is $65^{\circ}$. Find the other two angles of the triangle.

asked Oct 14, 2015 by pady_1

1 answer

One of the acute angle of the right angled triangle is $48^{\circ}$. Find the other acute angle of the triangle.

asked Oct 14, 2015 by pady_1

1 answer

Iqbal (height 79 cm) and Sanjana (height 112 cm) are standing in a ground. If distance between their toe is 56 cm, what is the distance between their heads?

asked Oct 14, 2015 by pady_1

1 answer

One of the exterior angle of a triangle is $130^{\circ}$ . If the interior opposite angles are equal. Find each angle of the triangle.

asked Oct 14, 2015 by pady_1

1 answer

One of the angles of a triangle is 110^{\circ} and other two angles are equal. Find the equal angles.

asked Oct 14, 2015 by pady_1

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Angle A, B and C of a triangle are in ratio 5:1:6. What is the value of angle C?

asked Oct 14, 2015 by pady_1

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In a triangle, the second angle is two third of the first angle, and the first angle is three times the third angle. What is the value of the second angle?

asked Oct 14, 2015 by pady_1

1 answer

If base and height of a right angle triangle are 24 meters and 7 meters respectively, what is the length of hypotenuse?

asked Oct 14, 2015 by pady_1

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In triangle $\bigtriangleup ABC, \angle B = 70^{\circ} and \angle C = 40^{\circ}.$ If point D is on line BC such that AD bisects $\angle A$. Find angle $\angle{ADB}$.

asked Oct 14, 2015 by pady_1

1 answer

Lovleen is walking in west direction. After walking for 2 meters, she takes a right turn and walks for another 2 meters. She then takes a left turn and walks for 3 meters. She again takes a right turn and walks for another 10 meters. How far is she from the starting point?

asked Oct 14, 2015 by pady_1

1 answer

The square of hypotenuse of a right angled triangle is 80 cm and one side is half the other. Find the length of the two sides.

asked Oct 14, 2015 by pady_1

1 answer

Two poles of a heights 23m and 15m stand parellel to each other at a distance of 15 m . Find the distance between their tops.

asked Oct 14, 2015 by pady_1

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