Properties of Triangle

IMPORTANT

Properties of Triangle: Overview

This topic covers concepts such as properties of an isosceles triangle, proofs for properties of an isosceles triangle, interior opposite angles in triangles, the relation between exterior angles and interior opposite angles in triangles, etc.

Important Questions on Properties of Triangle

HARD
IMPORTANT

In the figure, seg BDseg ADseg ECseg EBmBED=60°BDA is a right angle, then find mABC.

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EASY
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The angles in a triangle is 30-60-90 degree. Find the other sides of a triangle whose hypotenuse is 22 cm.

EASY
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The angles of a triangle are 45-45-90 degrees. Use the triangle's sides formula to find the other sides of a triangle whose one side is 5 cm

MEDIUM
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The angles of a triangle are 45-45-90 degrees. Use the triangle's sides formula to find the other sides of a triangle whose hypotenuse is 42 cm

MEDIUM
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The ratio of sides of a triangle with angles 45-45-90 degree is 

MEDIUM
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The angles of a triangle are 45-45-90 degrees. Use the triangle's sides formula to find the other sides of a triangle whose one side is 2 cm

MEDIUM
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Apply 45-45-90 degree triangle sides formula to find the other sides of a triangle whose one side is 82 cm

EASY
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The angles in a triangle is 30°-60°-90°.The hypotenuse of the triangle is 20 cm. The other sides of a triangle is 20 cm are 11 cm and 9 cm

MEDIUM
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The ratio of sides of a triangle with angles 30-60-90 degree is 

EASY
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The other sides of a triangle whose hypotenuse is 14 cm are 6 cm and 8 cm(Apply 30-60-90 degree triangle sides formula)

EASY
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Apply 30-60-90 degree triangle sides formula to find the other sides of a triangle whose hypotenuse is 16 cm

EASY
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An exterior angle of a triangle is of measure 80° and one of its interior opposite angles is of measure 30°. Find the measure of the other interior opposite angle. 

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An exterior angle of a triangle is of measure 70° and one of its interior opposite angles is of measure 25°. Find the measure of the other interior opposite angle. 

EASY
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Find the value of x°, y° and z°

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In the triangle ABC, sides BC, CA, and AB are extended to point D, E, and F so that $\angle$BAE, $\angle$ACD, $\angle$CBF are exterior angles.
What is the sum of the exterior angles?
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Find the sum of the exterior angles in degrees.

EASY
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In the triangle below, x= _____°.

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What is the value of x in the below triangle?
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The value of x= _____degrees.

EASY
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If the angles of  are in the ratios 1 : 2 : 3, then it is _____ angled triangle.

MEDIUM
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In ABC, BAC=90° and AD BC. If BAD=40°, then what is the numerical value of ACD?

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MEDIUM
IMPORTANT

In an isosceles triangle ABC, with AB=AC, the bisectors of B and C intersect each other at O. Join A to O. Is OB=OC (Yes/No).