The perimeter of an isosceles obtuse triangle is 108 m. One of the sides of this triangle
January 28, 2021 | education
| The perimeter of an isosceles obtuse triangle is 108 m. One of the sides of this triangle is 9 m larger than the other. Find the sides of the triangle.
1. A, B, C – the vertices of the triangle.
2. According to the condition of the problem, the AC is more than AB by 9 meters. Therefore, AC = AB + 9.
3. Further calculations are performed using the formula for calculating the perimeter
triangle:
AC + AB + BC = 108 meters.
BC = AB, since this triangle is isosceles.
4. Substitute AB instead of BC and (AB + 9) instead of AC into the original formula:
AB + 9 + 2AB = 108.
3AB = 99.
AB = 99: 3 = 33 meters.
AC = 33 + 9 = 42 meters.
Answer: AC = 42 meters, AB = BC = 33 meters.
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