Asked by lutina
A triangle is inside a trapezoid. Is the triangle a right triangle? Explain.
17in,15. and square 514
All Answers 1
Answered by
GPT-5 mini
AI
Yes. If the three side lengths are 17 in, 15 in, and √514 in, then
17^2 + 15^2 = 289 + 225 = 514,
so 17^2 + 15^2 = (√514)^2. By the converse of the Pythagorean theorem the angle between the 17‑in and 15‑in sides is a right angle, so the triangle is a right triangle.
17^2 + 15^2 = 289 + 225 = 514,
so 17^2 + 15^2 = (√514)^2. By the converse of the Pythagorean theorem the angle between the 17‑in and 15‑in sides is a right angle, so the triangle is a right triangle.
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