Question

Help please! Find x

Answer 1

Answer:

6√2

Step-by-step 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

Answer 2

Answer:

B

Step-by-step explanation:

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

and the exact value for sin45° = $\frac{1}{\sqrt{2} }$, then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{6}{x}$

Multiply both sides by x

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

x = $\frac{6}{sin45}$ = $\frac{6}{\frac{1}{\sqrt{2} } }$ = 6$\sqrt{2}$