In an isosceles triangle, two sides…

Maths Questions

In an isosceles triangle, two sides of equal length, denoted as a, are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters, which can be represented by the equation 2a + b = 15.7. If one of the longer sides measures 6.3 centimeters, what is the length of the base?

Answer

This isosceles triangle features two identical sides, each measuring longer than the base. The total perimeter is 15.7 centimeters, represented by the equation 2a + b = 15.7. Given that one of the sides, a, is 6.3 centimeters, we need to calculate the base length. Since both equal sides are longer, 6.3 cm is one of them. Therefore, we set up the equation with 2(6.3) + b = 15.7, simplifying to 12.6 + b = 15.7. By subtracting 12.6 from both sides, we find b = 3.1. Thus, the base measures 3.1 cm.

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