Chapter 5.4, Problem 40E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Find the length of the altitude to the 8-in side of a triangle whose sides are 4, 6, and8 in. long.

(*Hint: See Example 7.)*

To determine

**To Find:**

Length of the altitude.

Explanation

Given Length of the altitude to the 8-in. side of a triangle whose sides are 4, 6, and 8 in. in length.

The figure can be as,

From the given data,

Length of the sides of the triangle is 4, 6, and 8 in.

From the figure,

AB = 4 in. and AC = 6 in. and BC = 8 in. and the altitude

Let the altitude be *h, *and BD = *x* and DC= 8-*x.*

Now ADB is right triangle then

From the Pythagorean Theorem,

And from another right triangle ADC,

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