The leg of a right-angled triangle is 9 cm, and the hypotenuse is 15 cm. Calculate the length of the second leg.
| September 18, 2021 | education
Let AC – the hypotenuse of the triangle, AB – the known leg, BC – the desired leg.
To determine the length of the second leg, we use the Pythagorean theorem:
BC ^ 2 = AC ^ 2 – AB ^ 2 = 15 ^ 2 – 9 ^ 2 = 225 – 81 = 144.
BC = 12 cm.
Answer: The length of the second leg is 12 cm.
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