Question

Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work

Answer 1

Option A

Explanation:

Given:

• Angle=45°
• Base= 9
• hypotenuse = x

`\sf \therefore \: cos \: 45 \degree = (base)/(hypotenuse) = (9)/(x)`

`\sf \cos(45 \degree) = (1)/( √(2) )`

`\sf (1)/( √(2) ) = (9)/(x)`

`\therefore \: \rm \: x = 9 √(2)`