312,465 views
13 votes
13 votes
Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work

Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work-example-1
User Wil Selwood
by
2.4k points

1 Answer

10 votes
10 votes

Answer:

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)

User FrancoisBaveye
by
2.8k points