Question

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

side. Find the dimensions of the triangle if its perimeter is 57m.​

Answer 1

Answer:

4m-2x

57+57=114

110=2x

x=55

Answer 2

Step-by-step explanation:

➥ Answer :

• The length of the sides of the triangle are 22 m, 22 m and 13 m.

➥ Question :

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

➥ To find :

• The dimensions of the triangle.

➥ Solution :

Let the length of the third side be x metres.

➛ Then,

Length of each of two equal sides = (2x - 4) m.

∴ Perimeter = [(2x - 4) + (2x - 4) + x] m.

➛ According to the problem,

↣ (2x - 4) + (2x - 4) + x = 57

↣ 2x - 4 + 2x - 4 + x = 57

↣ 5x - 8 = 57

↣ 5x = 57 + 8

↣ 5x = 65

↣ x = 65/5

↣ x = 13

➛ Therefore,

Length of two equal sides = (2x - 4)

↬ (2x - 4)

↬ 2 × 13 - 4

↬ 22 m

Length of the third side = x = 13

Hence, the length of the sides of the triangle are 22 m, 22 m and 13 m.