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McGraw Hill Glencoe Geometry, 2012

MH

McGraw Hill Glencoe Geometry, 2012 View details

1. Geometric Mean

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Exercise 21 Page 542

Analyze what lengths you are given and use either the Geometric Mean (Altitude) Theorem or the Geometric Mean (Leg) Theorem.

$x \approx 4.7$
$y \approx 1.8$
$z \approx 13.1$

Practice makes perfect

We want to find the values of $x,$ $y,$ and $z .$

Notice that $x$ is the altitude of the given right triangle, $y$ is a partial segment of the hypotenuse, and $z$ is a leg. We will find their values one at a time.

Finding $y$ and $z$

Since we know the length of one leg and the length of the hypotenuse, we will use the Geometric Mean (Leg) Theorem to find the values of $y$ and $z .$

Subchapter links

Check Your Understanding p.541

Practice and Problem Solving p.541-544

H.O.T. Problems p.544

Standardized Test Practice p.545

Spiral Review p.545

Skills Review p.545