Chapter 5.4, Problem 30E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Find the length of the altitude to the 10-in. side of a triangle whose sides are 6, 8, and 10 in. in length.

To determine

**To Find:**

Length of the altitude.

Explanation

Given Length of the altitude to the 10-in. side of a triangle whose sides are 6, 8, and 10 in. in length.

The figure can be as,

From the given data,

Length of the sides of the triangle is 6, 8, and 10 in.

From the figure,

AB = 6 in. and AC = 8 in. and BC = 10 in. and the altitude

Let the altitude be *h, *and BD = *x* and DC= 10-*x.*

Now ADB is right triangle then

From the Pythagorean Theorem,

And from another right triangle ADC,

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