Question

Solve for x. Leave your answer in simplest radical form

Answer 1

Answer:

x = sqrt(39)

Step-by-step explanation:

Let y = common side of the two triangles.

Upper right triangle:

6^2 + y^2 = 10^2

y^2 = 100 - 36

y^2 = 64

y = 8

Lower left triangle:

5^2 + x^2 = 8^2

x^2 = 64 - 25

x^2 = 39

x = sqrt(39)