Question

Solve variables for right triangle

Answer 1

d = e = 9
`√(2)`

Explanation:

using the cosine ratio in the right triangle and the exact value

cos45° =
`(√(2) )/(2)` , then

cos45° =
`(adjacent)/(hypotenuse)` =
`(d)/(18)` =
`(√(2) )/(2)` ( cross- multiply )

2d = 18
`√(2)` ( divide both sides by 2 )

d = 9
`√(2)`

the triangle is a 90°- 45°- 45° and is isosceles with legs d and e being congruent. so

d = e = 9
`√(2)`