All categories

3 years ago

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

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

Answer:

yes

Step-by-step explanation:

Using the Pythagorean Theorem, considering that the sum of the squares of the lengths of the two smaller sides is equals to the square of the length of the greater side, the triangle is a right triangle.

Pythagorean Theorem:

The Pythagorean Theorem states that for a right triangle, the sum of the squares of the lengths of the two smaller sides is equals to the square of the length of the greater side.

so it is a right triangle.

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Juliette [100K]

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RoseWind [281]

<h3>Answer: 26 cm</h3>

====================================================

Explanation:

Refer to the diagram below. The rectangle MATH has the diagonal MT that cuts the rectangle into two identical right triangles.

We then use the pythagorean theorem to find the length of the hypotenuse MT.

a^2 + b^2 = c^2

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