I'm going to use the Pythagorean theorem to check if this triangle is a right triangle. The theorem says that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, if we have side lengths of 4 inches, 6 inches, and 9 inches, we can calculate:
4^2 + 6^2 = 16 + 36 = 52
9^2 = 81
Since 52 does not equal 81, this triangle is not a right triangle.
explain this how a 14 year old would
im going to use the Pythagorean theorem to determine if this is a right triangle. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
If we let the side lengths be a=4 in., b=6 in., and c=9 in., then we can apply the theorem as follows:
a^2 + b^2 = 4^2 + 6^2 = 16 + 36 = 52
c^2 = 9^2 = 81
a^2 + b^2 does not equal c^2 (52 does not equal 81), this triangle is not a right triangle.
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