Chapter 5.3, Problem 37E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Use the result of Exercise 13 to do the following problem. In

To determine

**To find:**

The length of altitude

Explanation

**Given:**

*Given: *

**Definition:**

**AA:**

If the two angles of one triangle are congruent to the two angles of another triangle, then the triangles are similar.

**CSSTP:**

Corresponding sides of similar triangles are proportional.

**Description:**

Given that

From the given figure, it is observed that there are two altitudes

An altitude is a line segment through a vertex and perpendicular to a line of a base.

That is,

It is known that two lines are perpendicular, they form right angles. That is,

Since all right angles are congruent,

The opposite angles of

The above mentioned *AA *definition, the two triangles *QRM *and *QSP *are similar since the two angles of one triangle are congruent to two angles of another triangle

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