Question

How do you use the Pythagorean Theorem to determine if the following three numbers could represent the measures of the sides of a right triangle: 30, 16, 34?

Answer 1

`c = sqrt( a ^2 + b ^2`

Explanation:

yes, these numbers represent the measure of the sides of a right angle triangle.

The formula for this is

`a^2+b^2=c^2`, which can also be written as
`c = sqrt( a ^2 + b ^2`

`c= 34`
`a=16`
`b=30`

`34=sqrt(16^2+30^2 )=sqrt(256+900)=sqrt(1156)=34`

I hope this helps