Question

What is the length of leg s of the triangle below? 45 √32 45° A. √4 B. 1.5 C. 16 ​

Answer 1

4 units

Explanation:

We can use the converse theorem of the isosceles triangle to find the missing leg.

Converse Isosceles triangle theorem: If two angles are congruent in a triangle, then sides opposite to those angles are also congruent.

Therefore,

As there are two 45° angles, the opposite sides to those are also congruent.

∴ s = 4

Answer 2

• s = 4 units

Explanation:

Given is isosceles right triangle, since its interior angles are 45°, 45° and 90°.

The missing length is therefore same as the length of the other leg:

• s = 4

Note: This is not included in the answer choices.