Question

In the triangle shown below, find the value of a given that b
53V2

Answer 1

a = 53

Explanation:

This is a 45- 45- 90 triangle with sides in the ratio x : x : x
`√(2)`

x are the legs and x
`√(2)` the hypotenuse

Here x
`√(2)` = 53
`√(2)` , then x = 53

That is the leg a = 53

Answer 2

a=53

Explanation:

`\sin(45) = (a)/(53 √(2) ) \\ ( √(2) )/(2) = (a)/(53 √(2) ) \\ a = 53`

I hope I helped you^_^