Question

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

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

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.