Question

ANSWER ASAP Find the value of x. A. sqrt 3 B. 3 sqrt 2/2 C. 3 sqrt 2 D. 3 sqrt 3

Answer 1

Since this is a right triangle we can use the Pythagorean Theorem:

h^2=x^2+y^2, and since x and y are both opposite 45° angles, they are equal to one another, so we have:

h^2=2x^2  since h=3

2x^2=9

x^2=9/2

x=√(9/2)

x=3√(1/2)  if we rationalize the denominator by multiplying the fraction by √2/√2 we get

x=(3√2)/2