Chapter 6.4, Problem 1CE

To determine

The largest angle and the smallest angle of the given triangle.

Answer to Problem 1CE

  $\angle R$ will be greater and $\angle S$ will be smaller.

Explanation of Solution

Given information :

The given triangle is,

The given triangle is $\Delta RST$ as shown above.

Measure of sides are $RS=22,ST=23andTR=21$

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

Here, the greater side is $ST=23$ .

Therefore, the opposite angle is $\angle R$ will be greater.

Similarly,

Angle opposite to smaller side is smaller.

Here, the smaller side is $RT=21$ .

Therefore, the opposite angle is $\angle S$ will be smaller.