The sides of one triangle are 6 cm, 15 cm, 8 cm, and the perimeter of a similar triangle is 117 cm.
June 17, 2021 | education
| The sides of one triangle are 6 cm, 15 cm, 8 cm, and the perimeter of a similar triangle is 117 cm. Find the sides of the other triangle.
Let’s denote the coefficient of similarity through x, then the sides of such a triangle will be respectively equal to 6x cm, 15x cm and 8x cm.Since the perimeter of such a triangle is 117 cm, we compose and solve the equation:
6x + 15x + 8x = 117;
29x = 117;
x = 117: 29;
x = 117/29.
The coefficient of similarity is 117/29, then the sides of a similar triangle will be:
6 * 117/29 = 702/29 = 24 6/29 (cm);
15 * 117/29 = 1755/29 = 60 15/29 (cm);
8 * 117/29 = 936/29 = 32 8/29 (cm);
Answer: the sides of such a triangle are 24 6/29 cm, 60 15/29 cm and 32 8/29 cm.
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