# Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set - Page 632: 67

36 inches

#### Work Step by Step

The height and width of a television form the legs of a right triangle. The diagonal is the hypotenuse. Let d be the diagonal measurement. $d^2=20^2+30^2$ Simplify. $d^2=400+900$ $d^2=1300$ Take the square root of each side. $\sqrt{d^2}=\sqrt{1300}$ Simplify and round. $d\approx36$

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