Using the Pythagorean Theorem, is a triangle with sides measuring the following a right triangle: #12, 9, 15#?

Answer 1

Yes

In a right angled triangle, the square on the hypotenuse (longest side - side opposite the right angle) is equal to the sum of the square on the other 2 sides.

Now since #12^2+9^2=225=15^2#, it follows that these 3 dimensions do describe that of a right-angled triangle since Pythagoras Theorem is satisfied.

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Answer 2

Sadie Adams

Yes, a triangle with sides measuring 12, 9, and 15 is a right triangle because it satisfies the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case:

12^2 + 9^2 = 144 + 81 = 225 15^2 = 225

Since 12^2 + 9^2 equals 15^2, the triangle satisfies the Pythagorean Theorem and is therefore a right triangle.

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