Question

One leg of a right triangle is 3.2 centimeters long. The length of the second leg is 5.7 centimeters. What is the length of the hypotenuse?

Answer 1

Hypotenuse of right triangle is `6.54(2dp)` cm long.

Explanation:

Let first leg of righr triangle be `l_1 = 3.2`cm.

Second leg of righr triangle be `l_2 = 5.7`cm.

Hypotenuse of a right triangle is `h=sqrt(l_1^2+l_2^2) = sqrt(3.2^2+5.7^2)=sqrt42.73= 6.54(2dp)`cm.[Ans]

Answer 2

6.5 cm

Explanation:

The Pythagorean Theorem defines the relationship of the sides of a right triangle. It is:
`a^2 + b^2 = h^2` where a and b are the lengths of the sides, and h is the length of the hypotenuse.
`(3.2)^2 + (5.7)^2 = h^2`
10.24 + 32.49 = `h^2`
42.73 = `h^2`
h = 6.5 cm