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Answer and Step-by-step explanation:
The sides we have are 7, , and
.
The square root of 80 is less than 9 but greater than 8 (because is 64,
is 81, and 80 is in between those two values), and the square root of 31 is definitely less than the square root of 80.
So, is the longest side.
1) The square of is:
2) The sum of the squares of the two shorter sides is:
3) Since the square of the longest side is equal to the sum of the squares of the two shorter sides, by the Pythagorean Theorem, the triangle is a right triangles.
Hope this helps!