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?

2 Answers
Dec 1, 2016

Answer:

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]

Dec 1, 2016

Answer:

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