In a right-angled triangle, the legs are 8 cm and 15 cm. Find the perimeter of the triangle.

Let ABC be a right-angled triangle (∠C = 90 °).

By the Pythagorean theorem AB ^ 2 = AC ^ 2 + BC ^ 2.

AB ^ 2 = 15 ^ 2 + 8 ^ 2 = 225 + 64 = 289 = 172.

AB = 17 (cm)

The perimeter of the triangle P = 8 + 15 + 17 = 40 (cm).

Answer: the perimeter of the triangle is 40 cm



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