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The sides of certain triangles are (a – 1) cm, 2√a cm, (a + 1) cm. Determine of are right triangles. |
Answer» A given triangle to be right-angled, if it satisfies Pythagorean Theorem. That is, the sum of the squares of the two smaller sides must be equal to the square of the largest side. (a- 1) cm, 2√a cm, (a + 1) cm Longest side = (a + 1) cm (a + 1)2 = a2 + 2a + 1 and (a – 1)2 + (2 √a )2 = a2 – 2a + 1 + 4a = a2 + 2a + 1 a2 + 2a + 1 = a2 + 2a + 1 It is a right triangle. |
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