The perimeter of an isosceles triangle is 35 cm. The base of an isosceles triangle is one and a half times
| September 3, 2021 | education
The perimeter of an isosceles triangle is 35 cm. The base of an isosceles triangle is one and a half times the length of the side. Find the sides of the triangle.
Perimeter of an isosceles triangle: P = 2a + b, where a, b are sides.
Since an isosceles triangle has two sides equal, it means that they will have the same meaning. Take the number a for this value, the base is 1.5 times larger, which means:
b = a * 1.5.
Substitute the values in the formula, knowing that the perimeter = 36 cm.
P = 2a + 1.5a = 35.
3.5a = 35.
a = 35 / 3.5.
a = 10 cm – the length of the side.
b = 10 * 1.5 = 15 cm – base length.
Answer: 10 cm, 10 cm, 15 cm.
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