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Which measurements would represent the side lengths of a right triangle

User Smasho
by
8.6k points

2 Answers

11 votes

Answer:

B: 5, 12, 13

Explanation:

User Jos Vinke
by
8.2k points
14 votes

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

User Hadvig
by
8.5k points

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