Question

Help please!

Find x

Answer 1

B

Explanation:

Since the triangle is right use the sine ratio to solve for x

and the exact value for sin45° =
`(1)/(√(2) )`, then

sin45° =
`(opposite)/(hypotenuse)` =
`(6)/(x)`

Multiply both sides by x

x × sin45° = 6 ( divide both sides by sin45° )

x =
`(6)/(sin45)` =
`(6)/((1)/(√(2) ) )` = 6
`√(2)`

Answer 2

6√2

Explanation:

A 45 45 90 right triangle, so ratio of leg : leg: hypotenuse = a: a : a√2 (a = value of leg)

Given: leg = 6

So the ratio of leg : leg: hypotenuse = 6 : 6 : 6 √2

Answer:

x = 6√2