A triangle has sides of length 6,8 and 10.Is it a right triangle? Explain.

mayonaisea2ef

mayonaisea2ef

Answered question

2023-02-22

A triangle has sides of length 6,8, and 10. Is it a right triangle? Explain.

Answer & Explanation

Juliette Mahoney

Juliette Mahoney

Beginner2023-02-23Added 6 answers

Determine the triangle's type:
The triangle's sides measure 6,8, and 10.
The longest side length is 10.
And the smaller sides are of lengths 6,8.
The smaller side's sum of squares is now written as:
62+82=36+64=100
And the square of the longer side is 102=100.
Since the square of the longer side equals the sum of the squares of the smaller sides, this 62+82=102.
So, the sides make up a right triangle according to the Pythagorean Theorem.
So, the triangle has sides of length 6,8, and 10 is a right triangle.
Therefore, the proper response is "yes," and the triangle supplied is a right triangle.

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