Question

PLEASE!!! I JUST REALLY NEED HELP RIGHT NOW! T∆T

Using the 45o -45o -90o triangle theorem, solve this triangle.​

Answer 1

Explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/
`√(2)`=24/k(do cross multiplication)

24*
`√(2)` =k*1

24
`√(2)` =k

Answer 2

`k = 24 √(2)`

Explanation:

Given is a 45° - 45° - 90° triangle.

According to the 45° - 45° - 90° triangle theorem, measure of the side opposite to 45° angle is equal to
`(1)/(\sqrt 2)` times of the hypotenuse.

`\therefore 24 = (1)/( √(2) ) k \\ \\ \therefore \: 24 √(2) = k \\ \\ \therefore \:k = 24 √(2)`