Question

In KLM , LM = 5 and m K = 45. Find KL. Leave your answer in simplest radical form.

(answer choices in photo above)

Answer 1

10 2squared( second choice)

Answer 2

The answer is 5√2

Explanation:

This a rectangle triangle, which means that the triangle has a 90° angle. as can be seen in the picture above.

We can use the sine rule to get the angle of KL, the sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles which must be proportional between them:

`[tex](a)/(sin A) = (b)/(sin B)\\(5)/(sin 45) = (b)/(sin 90)\\(5* sin 90)/(sin 45) = {b}\\b = 5√(2)`[/tex]