A right triangle has legs with lengths 9 cm and 40 cm. What is the length of the hypotenuse?

Question

Mathematics

Winters

15 June, 01:54

A right triangle has legs with lengths 9 cm and 40 cm. What is the length of the hypotenuse?

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Answers (2)

Know the Answer?

Huey · Answer 1

Pythagorean theorem

a^2+b^2=c^2

a and b are legs

c=hypotonuse

assign each

a=9

b=40

9^2+40^2=c^2

81+1600=c^2

1681=c^2

square root both sides

41=c

hpotonuse=41 cm

Chandler Decker · Answer 2

Use pythagorean theorem a² + b² = c², where a and b are legs, and c is hypotenuse.

9² + 40² = c²

√ (9² + 40²) = c

√ (81 + 1600) = c

√1681 = c

41 = c

So length of hypotenuse is 41 cm.