"A triangle has sides of length 6,8, and..." solved and explained

mayonaisea2ef

Answered question

2023-02-22

A triangle has sides of length

6, 8,

and

10

. Is it a right triangle? Explain.

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:

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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