Question

How long is GH?

Any help will me appreciated thank you

Answer 1

7 sqrt(2)

Explanation:

We can use trig functions

sin theta = opposite side/ hypotenuse

sin 45 = 7/x

Multiply each side by x

x sin 45 = 7

Divide each side by sin 45

x = 7 / sin 45

x = 7 (sqrt(2) /2)

x = 14 / sqrt(2)

We do not leave square roots in the denominator

x = 14 / sqrt(2) * sqrt(2)/ sqrt(2)

12 sqrt(2)/ 2

= 7 sqrt(2)