A circle is inscribed in a right-angled triangle, the radius of which is 2 cm.Calculate the perimeter
| February 26, 2021 | education
A circle is inscribed in a right-angled triangle, the radius of which is 2 cm.Calculate the perimeter of the triangle if the length of its hippotenuse = 13 cm.
1. A circle is inscribed in triangle ABC. Its radius is R = 2 centimeters. ∠А = 90 °. BC = 13
centimeters. P perimeter.
2. R = (AB + AC – BC): 2 = 2 centimeters.
AB + AC – BC = 4 centimeters.
AB + AC = 4 + 13 = 17 centimeters.
P = AB + BC + AC = 17 + 13 = 30 centimeters.
Answer: P is equal to 30 centimeters.
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