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# Triangle Perimeter and Congruence Practice Problems

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— McGraw-Hill Professional
Updated on Oct 3, 2011

Review Basic Triangle Facts Help.

## Triangle Perimeter and Congruence Practice Problems

#### PROBLEM 1

Suppose that Δ PQR in Fig. 2-14 has sides of lengths s = 10 meters, t = 7 meters, and u = 8 meters. What is the perimeter B of this triangle?

Fig. 2-14 . Perimeter and area of triangle.

#### SOLUTION 1

Simply add up the lengths of the sides:

B = s + t + u

= (10 + 7 + 8) meters

= 25 meters

#### PROBLEM 2

Are there any triangles having sides of lengths 10 meters, 7 meters, and 8 meters, in that order proceeding clockwise, that are not directly congruent to Δ PQR as described in Problem 2-5?

#### SOLUTION 2

No. According to the side–side–side (SSS) principle, all triangles having sides of lengths 10 meters, 7 meters, and 8 meters, in this order as you proceed in the same rotational sense, are directly congruent.

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