A triangle has sides with lengths of 15 centimeters, 19 centimeters, and 10 centimeters. Is it a right triangle?
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No. For a triangle to be right, the square of the longest side must equal the sum of the squares of the other two. Here 19 is longest, and
19^2 = 361, while 15^2 + 10^2 = 225 + 100 = 325.
Since 361 ≠ 325 (and 361 > 325), the triangle is not right; it is obtuse.
19^2 = 361, while 15^2 + 10^2 = 225 + 100 = 325.
Since 361 ≠ 325 (and 361 > 325), the triangle is not right; it is obtuse.
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