Question

Kelsey measured the sides of a porch to determine if it is a right triangle. Does her porch with side lengths of 42 feet, 56 feet, and 70 feet form a right triangle?

Yes, because 1st picture
Yes, because 2nd picture
No, because 3rd picture
No, because 4th picture

Answer 1

Yes, because 2nd picture

Explanation:

we know that

If the side lengths of a triangle satisfy the Pythagoras Theorem, then is a right triangle

The Pythagoras Theorem states that

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

where

c is the greater side

a and b are the legs of triangle

we have

`c=70\ ft`

`a=42\ ft`

`b=56\ ft`

substitute

`70^(2)=42^(2)+56^(2)`

`4,900=4,900`

therefore

Is a right triangle