Question

Construct an isosceles triangle in which the length of each equal side is 5.5cm and the angle between them is 45 degrees. Measure the base angles.

Answer 1

Step-by-step explanation:

Length of equal sides is 5.5cm

Angles between the two equal sides is 45°

Let the base angles be A and B

And third angle be C

In an isosceles triangle, we know that base angles are equal, hence A = B

We know that

Sum of all angle sof triangle is 180°

A + B + C = 180

2A + 45 = 180

2A = 180 - 45

2A = 135

A = 135/2 = 67.5 = B

Hence, base angles are of measure 67.5°