Chapter 11.CR, Problem 27CR

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 21 to 30, use the drawings, where provided, to solve each problem, Angle measures should be found to the nearest degree; lengths should be found to the nearest tenth of a unit.*

Each of the legs of an isosceles triangle is 40 cm is length. The base is 30 cm in length. Find the measure of a base angle.

To determine

The measure of the base angle of an isosceles triangle which has its legs of length 40 cm and base 30 cm.

Explanation

**Procedure used:**

In any triangle ABC such that

The Law of cosines is given by

The Law of sines is given by

**Calculation:**

**Given:**

Length of the legs of an isosceles triangle

The length of the base

Thus,

Assume that

Take,

Also,

Now, apply the law of cosines in the triangle

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