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McGraw Hill Glencoe Geometry, 2012

MH

McGraw Hill Glencoe Geometry, 2012 View details

3. Special Right Triangles

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Exercise 58 Page 566

Analyze what lengths you are given and use either the Geometric Mean Altitude Theorem or the Geometric Mean Leg Theorem to write a proportion.

$x \approx 13.9,$ $y \approx 6.9,$ $z = 8$

Practice makes perfect

Let's analyze the given right triangle so that we may find the values of the variables.

We know the length of both segments of the hypotenuse, and the expressions for other sides of triangle. Therefore, we can use the Geometric Mean Altitude Theorem and the Geometric Mean Leg Theorem to write a proportion.

We will find

x,

y,

and

z

one at a time.

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Subchapter links

Check Your Understanding p.562

Practice and Problem Solving p.562-565

H.O.T. Problems p.565

Standardized Test Practice p.566

Spiral Review p.566

Skills Review p.566