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A triangle has side lengths of 10 inches, 24 inches, and 26 inches. is this a right triangle?

asked
User Oleg Pro
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8.2k points

1 Answer

4 votes

Answer: Yes, it is a right triangle.

Explanation:

We can use the Pythagorean theorem to determine if this is a right triangle. a and b are the legs (shorter sides) while c is the hypotenuse (longest side).

Given:

a² + b² = c²

Substitute:

(10)² + (24)² = (26)²

Square:

100 + 576 = 676

Add:

676 = 676 ✓

Since 676 = 676 is a true statement, this is a right triangle.

answered
User Sflee
by
8.0k points

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