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, becaus…

Question

asked May 16, 2020 80.9k views

1 Answer

Sarthik Gupta · Answer 1 · 2020-05-21T04:48:20+0000

Answer:

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