Question

What is the value of y

Answer 1

Step-by-step explanation:

step 1. there are 3 right triangles!

step 2. 8/6 = 6/x (definition of right triangle with an altitude)

step 3. 8x = 36 (cross multitude)

step 4. x = 9/2 (divide both sides by 8)

step 5. 6^2 + x^2 = y^2 (pythagorean theorem)

step 6. 6^2 + (9/2)^2 = y^2

step 7. 144/4 + 81/4 = y^2

step 8. 225/4 =y^2

step 9. y = 15/2 = 7.5.