Answer:
B. 5 ft, 8 ft, 9 ft
Explanation:
Which measurements could represent the side lengths of a right triangle?
4 m, 6 m, 10 m
5 ft, 8 ft, 9 ft
16 cm, 30 cm, 34 cm
18 in., 24 in., 42 in.
A right triangle has 3 sides; the hypotenuse, opposite and adjacent sides
Hypotenuse ² = opposite ² + adjacent ²
The hypotenuse is the largest side
Check all options
A. 4 m, 6 m, 10 m
Hypotenuse ² = opposite ² + adjacent ²
10² = 6² + 4²
100 = 36 + 16
100 m is not equal 52 m
NOT CORRECT
B. 5 ft, 8 ft, 9 ft
Hypotenuse ² = opposite ² + adjacent ²
9² = 8² + 5²
81 = 64 + 25
81 ft is not equal to 89 ft
NOT CORRECT
C. 16 cm, 30 cm, 34 cm
Hypotenuse ² = opposite ² + adjacent ²
34² = 30² + 16²
1,156 = 900 + 256
1,156 cm = 1,156 cm
CORRECT
D. 18 in., 24 in., 42 in.
Hypotenuse ² = opposite ² + adjacent ²
42² = 24² + 18²
1,764 = 576 + 324
1,764 in is not equal to 900 in
NOT CORRECT
B. 5 ft, 8 ft, 9 ft is the correct answer