Question

Solve for x. Leave your answer in simplest radical form.

Answer 1

Step-by-step explanation:

step 1. let's call the line in the middle y.

step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.

step 3. x^2 + y^2 =100 (pythagorean theorem))

step 4. x^2 + (sqrt(74))^2 = 100.

step 5. x^2 = 100 - 74

step 6. x^2 = 26

step 7. x = sqrt(26). note: sqrt is the square root.