Question

Find the value of x and y. Write your answer in simplest radical form. For question 19. And 21.

Answer 1

19)
6/x = x/12
x^2 = 72
x = √72
x = 6√2

y^2 = 12^2 + (√72)^2
y^2 = 144 + 72
y^2 = 216
y = 6√6

21)
14 - 8 = 6
y/8 = 6/y
y^2 = 48
y = √48
y = 4√3

x^2 = 6^2 +(√48)^2
x^2 = 36 + 48
x^2 = 84
x = √84
x = 2√21