Hayley Steele

2023-02-25

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:
${6}^{2}+{8}^{2}=36+64=100$
And the square of the longer side is ${10}^{2}=100$.
Since the square of the longer side equals the sum of the squares of the smaller sides, this ${6}^{2}+{8}^{2}={10}^{2}$.
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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