The two triangles are similar.

what is the value of x?

enter your answer in the box.

x=10

Step-by-step explanation:

The two triangles are similar since each triangle is the same shape of right triangle but different sizes. To find x, write a proportion between two equal ratios of side lengths.

Solve by cross multiplying.

28(3x) = 20(4x+2)

84x = 80x + 40

4x = 40

x=10

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11