Geometry

Properties of Triangles

Properties of Triangles: Level 1 Challenges

         

Triangle ABCABC has the property that A+B=C\angle A+\angle B= \angle C. Find the measure of C\angle C in degrees.

A right triangle has a leg of length 7 m7\text{ m} and an area of 84 m284\text{ m}^2. What is its perimeter?

In ABCABC , sides ABAB and ACAC are equal in length and A\angle A measures 8080^\circ.

If the points D, E, and F are on sides BC, CA, and AB respectively, such that CE=CD,BF=BD CE= CD,BF=BD, then what is EDF \angle EDF ?

The sides of a right triangle are aa, a+da+d and a+2da+2d with aa and dd both positive. What is the value of a:da:d?

Note: Image drawn not up to scale.

Arjit drew an isosceles right angled triangle on the board. What is the measure of the base angle?

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