Question

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7. If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options. –2 in. 0 in. 0.5 in. 2 in. 7.9 in.

Answer 1

The correct answers are : 0.5 inches and 2 inches.

Explanation:

perimeter of isosceles triangle =15.7 inches

Length of two equal sides = a

Length of third side = b

Perimeter = 2a + b = 15.7 inches

Given that 'the sum of the lengths of any two sides of a triangle must be greater than the length of the third side'.

2a > b

If b = 0.5

2a +0.5 inch= 15.7

2a=15.7

2a > b (possible)

If b=2 inches

2a +2=15.7

2a = 13.7 inch

2a > 2 inches (possible)