The hypotenuse of a right-angled triangle is 3√2 cm, find the legs if the triangle is isosceles.
| July 28, 2021 | education
By condition, the triangle ABC is rectangular and isosceles, which means the legs CB and AB are equal.
Then, by the Pythagorean theorem, AC ^ 2 = AB ^ 2 + AC ^ 2 = 2 * AB ^ 2.
(3 * √2) ^ 2 = 2 * AB ^ 2.
18 = 2 * AB ^ 2.
AB ^ 2 = 18/2 = 9.
AB = √9 = 3 cm.
AB = BC = 3 cm.
Answer: The legs of the triangle are 3 cm.
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