Question

A flag is the shape of an isosceles triangle, with two equal sides and a base. Sara has enough fabric to make a flag with a perimeter of 46.8 cm. She knows the flag needs a base that is half the distance of one of the sides. What is the base of the largest triangular flag Sara can make?

Answer 1

Lets assume the sides of the isosceles triangle are:

Side A: x

Side B: x

Base: x/2

x+x+x/2= 46.8cm

2x+x/2=46.8cm

4x+x=93.6

5x=93.6

x= 18.72

Side A: 18.72cm

Side B: 18.72cm

Base: 9.36cm

The base of the largest triangular flag Sara can make is 9.36cm.

2x+x/2= 46.8cm

Answer 2

The base of the largest isosceles triangular flag is: 9.36 cm.

What is an Isosceles Triangle?

An isosceles triangle is a triangle that has two equal sides, and a base with a different length.

Thus,, since the flag has a shape of a isosceles triangle, therefore:

let x represent the length of the two equal sides.

the length of the base = x/2.

Perimeter of the isosceles flag = 46.8 cm.

Therefore:

x + x + x/2 = 46.8

5x/2 = 46.8

5x = 93.6

x = 18.72

Thus, the base of the largest isosceles triangular flag would be: 18.72/2 = 9.36 cm.

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