Page 158 - Math Course 2 (Book 1)

The Pythagorean Theorem

Identify a Right Triangle
The measures of three sides of a triangle are given.
Determine whether the triangle is a right triangle. The measures of three sides of a triangle are given.
24 cm, 70 cm, 74 cm.
Determine whether the triangle is a right triangle.
42 in., 61 in., 84 in.
2
2
c = a + b 2 Pythagorean Theorem
?
2
2
2
74 = 24 + 70 Replace c with 74, a with A. Yes, the triangle is a right triangle.
B. No, the triangle is not a right triangle.
24, and b with 70.
? Answer
2
2
2
5476 = 576 + 4900 Evaluate 74 , 24 , and 70 .
5476 = 5476 Simplify.
The triangle is a right triangle.
Answer YES

Your Turn! The measures of three sides of a triangle are given.

Determine whether the triangle is a right triangle.
Standardized Test Example 16 m, 30 m, 34 m

MULTIPLE-CHOICE TEST ITEM A. Yes, the triangle is a right triangle.
An 18-foot ladder is placed against B. No, the triangle is not a right triangle.
a building which is 14 feet tall.
About how far is the base of the ladder from the
building? Answer

A. 11.6 feet
B. 10.9 feet
C. 11.3 feet
D. 11.1 feet

Answer

Skill Practice! Find the length of the hypotenuse in each right triangle.
Round to the nearest tenth, if necessary.

1. 2. 3.

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