In a right-angled triangle, the legs are 8cm and 15cm. Find the perimeter of the triangle.
| July 4, 2021 | education
1. Let’s designate the vertices of the triangle ABC. Angle C = 90 °. AC leg = 8 centimeters. BC leg = 15 centimeters.
2. Applying the Pythagorean theorem, we calculate the length of the hypotenuse AB:
AB = √AC ^ 2 + BC ^ 2 = √8 ^ 2 + 15 ^ 2 = √64 + 225 = √289 = 17 centimeters.
3. We calculate the perimeter of the triangle ABC:
The perimeter of the triangle ABC = AB + BC + AC = 17 + 15 + 8 = 40 centimeters.
Answer: the perimeter of the triangle ABC = 40 centimeters.
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