Question

Find the value of C 25 points

Answer 1

10 units

Explanation:

Given triangle is right triangle with acute angle of measure 45°. Then second acute angle has measure

90°-45°=45°.

This means that given right triangle is isosceles triangle. Therefore the second leg is also
`5√(2)` units. By the Pythagorean theorem,

`c^2=(5√(2))^2+(5√(2))^2,\\ \\c^2=50+50,\\ \\c^2=100,\\ \\c=10\ \text{units}.`