Which measurements would represent the side lengths of a right triangle

B. 5 ft, 8 ft, 9 ft

Step-by-step 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

need more information

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.