CPM Homework Help : CC3MN Problem 9-90

Find the missing length on this right triangle.

Hint:

Use the Pythagorean Theorem.

Step 1:

$7^{2} + x^{2} = 30^{2}$

Step 2:

$49 + x^{2} = 900$

Step 3:

$x^{2} = 851$

Answer:

${\it x} = \sqrt{851} \approx 29.17\text{ mm}$

A right triangle labeled as follows: Leg, 7 mm, hypotenuse, 30 mm.