Question

What is the length of the hypotenuse of the triangle when x= 12?

6x+4
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)

Answer 1

The length of the hypotenuse: c = 96.8 units

Explanation:

Given the sides

• a = 6x+4

• b = 5x

• c = hypotenuse = ?

Given that the x = 12

so

• a = 6x+4 = 6(12)+4 = 76

• b = 5x = 5(12) = 60

Pythagorean Theorem:

For a right angled triangle with sides 'a' and 'b', the hypotenuse 'c' is defined as:

`c=√(a^2+b^2)`

substituting a = 76 and b = 60

`c=√(76^2+60^2)`

`c=4√(586)`

`c = 96.8` units

Therefore, the length of the hypotenuse: c = 96.8 units