Question

The hypotenuse of a 45°-45°-90° triangle measures 7 StartRoot 2 EndRoot units.

A right triangle is shown. The hypotenuse has a length of 7 StartRoot 2 EndRoot and the lengths of the other 2 sides are congruent.

What is the length of one leg of the triangle?

7 units
7 StartRoot 2 EndRoot units
14 units
14 StartRoot 2 EndRoot units

Answer 1

A. 7 units 2021 edg

Explanation:

Answer 2

7 units

Explanation:

Given is a 45°-45°-90° triangle.

Measure of Hypotenuse = 7 StartRoot 2 EndRoot units.

In a 45°-45°-90° triangle, measures of perpendicular legs is one upon square root 2 times of the measure of Hypotenuse.

`\therefore \: measure \: of \: one \: leg \\ \\ = (1)/( √(2) ) * 7 √(2) \\ \\ = 7 \: units`