## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 2 Linear Equations and Functions - 2.8 Graph Linear Inequalities in Two Variables - 2.8 Exercises - Problem Solving - Page 138: 49b

#### Answer

$d^2\gt\frac{25}{9}h^2$

#### Work Step by Step

We know that $w\gt \frac{4}{3}h$ and that by the Pythagorean Theorem, $d^2=w^2+h^2$. Hence $d^2=w^2+h^2\gt(\frac{4}{3}h)^2+h^2=\frac{16}{9}h^2+h^2=\frac{25}{9}h^2$

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