Respuesta :
What is the square of the longest side?
80
What is the sum of the squares of the two shorter sides?
80
Is the triangle a right triangle?
Yes, the square of the longest side equals the sum of the squares of the shorter sides
The triangle is a right triangle because the square of the longest side equals the sum of the squares of the shorter sides.
What is the right triangle?
A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.
A triangle with side lengths 7, 80, and 31 is given.
We need to find that the triangle is right-angled.
By Pythagoras theorem,
(Hyp)² = (Opp)² + (Adj)²
(Hyp)² = (80)² = 6400
(Opp)² + (Adj)² = 7² + 31²
= 49 + 961
= 1,010
Therefore, (Hyp)² > (Opp)² + (Adj)²
Yes, the triangle is a right triangle because the square of the longest side equals the sum of the squares of the shorter sides.
Learn more about a right triangle;
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