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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

Mid-Chapter Quiz

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Exercise 9 Page 514

Compare the square of the largest side length to the sum of the squares of the other two side lengths.

Obtuse

Practice makes perfect

We want to determine whether the triangle formed by the given side lengths is acute, right, or obtuse. To do so, we will compare the square of the largest side length to the sum of the squares of the other two side lengths. Let $a,$ $b,$ and $c$ be the lengths of the sides, with $c$ being the longest.

Condition	Type of Triangle
$a^{2} + b^{2} < c^{2}$	Obtuse triangle
$a^{2} + b^{2} = c^{2}$	Right triangle
$a^{2} + b^{2} > c^{2}$	Acute triangle

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