Properties of Triangle

IMPORTANT

Properties of Triangle: Overview

This Topic covers sub-topics such as Properties of Isosceles Triangle, Exterior Angles of Triangles, Properties of a 30-60-90 Degrees Triangle and, Properties of a 45-45-90 Degrees Triangle

Important Questions on Properties of Triangle

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

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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.

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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

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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 

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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

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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 

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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)

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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

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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. 

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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.

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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.

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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
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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).