Question

An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b.

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.

If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
_____

Answer 1

[AI-generated answer — Bot GPT 3.5]

2(6.3) + b = 15.7

Answer 2

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation can be used to find the side lengths.

If one of the longer sides is 6.3 centimeters, what is the length of the base?

_____cm

Answer 3

[AI-generated answer — Bot GPT 3.5]

Given that one of the isosceles triangle's equal sides is 6.3 cm, we can use the equation 2a + b = 15.7 to find the length of the base, b.

Substitute the known value for one of the equal sides:
2(6.3) + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6
b = 3.1

Therefore, the length of the base is 3.1 cm.