Question

the length of each of two equal sides of an isosceles triangle is 4 m less than twice the length of the third side find the dimensions of the triangle if its perimeter is 57 m

Answer 1

Given :

The length of each of two equal sides of an isosceles triangle is 4m less than twice the length of the third side. The perimeter of the triangle is 57m.

To Find :

What are the dimensions of the triangle?

ㅤㅤ▬▬▬▬▬▬▬▬▬▬▬

✇ Let the length of third side be x.

• The length of each of two equal sides of an isosceles triangle is 4m less than twice the length of the third side.

∴ First & Second side = (2x - 4) & (2x - 4)

As we know,

⇝ Perimeter (Triangle) = Sum of all sides

According to the question,

⟹ 2x - 4 + 2x - 4 + x = 57

⟹ 5x - 8 = 57

⟹ 5x = 57 + 8

⟹ 5x = 65

⟹ x = 65⁄5

⟹ x = 13

Therefore,

• First side :-

↦ (2x - 4)

↦ 2(13) - 4

↦ 26 - 4

↦ 22m

• Second side :-

↦ (2x - 4)

↦ 2(13) - 4

↦ 26 - 4

↦ 22m

• Third side :-

↦ x

↦ 13m

∴ The dimensions of the triangle are 22m, 22m and 13m respectively.