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Chapter 6: Q1. (page 221)

For the following figure, name the largest and the smallest angle of the triangle.

Short Answer

Expert verified

The largest angle is ∠Rand the smallest angle is∠S.

Step by step solution

01

Step 1. Apply the concept of angles.

From the properties of the triangle, the angle opposite to the greater side is greater and Angle opposite to the smaller side is smaller.

02

Step 2. Check the figure.

Consider the figure ΔRST.

03

Step 3. Find the angle.

From the figure, the measure of sides are as follows:

RS=22ST=23TR=21

04

Step 4. Step description.

From the properties of the triangle, that angle opposite to the greater side is greater and the angle opposite to the smaller side is smaller.

Then the larger side is ST=23and the angle opposite to STis ∠Rand the smaller side is TR=21and the angle opposite to TRis ∠S.

Therefore, the largest angle is ∠Rand the smallest angle is ∠S.

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