Question

the length of the equal side of an isosceles triangle is 4m more than it's base. if the perimeter is 44m find the base​

Answer 1

Answer:GiveN:-

The length of the legs of an isosceles triangle is 4 meters more than its base.

Perimeter of the triangle = 44 m.

To FinD:-

The length of the sides of the triangle.

SolutioN:-

Let us assume that the base is "x" m.

So, length of the legs of the Isosceles triangle is "x + 4" m because it is 4 m more than the base.

We know that,

Isosceles triangle is a triangle whose two sides are equal and the third side is different.

So,

All sides in a triangle sum upto its perimeter.

Let the three sides be a, b, c.

☯ According to the question,

➡ a + b + c = Perimeter

where,

a = (x + 4) m

b = (x + 4) m

c = x m

Perimeter = 44 m

Substituting the values in the equation,

➡ (x + 4) + (x + 4) + x = 44

➡ x + 4 + x + 4 + x = 44

➡ 3x + 8 = 44

➡ 3x = 44 - 8

➡ 3x = 36

➡ x = 36/3

➡ x = 12

The sides are :

a = x + 4 = 12 + 4 = 16 m

b = x + 4 = 12 + 4 = 16 m

c = x = 12 m

The length of three sides of the isosceles triangle are 16 m, 16 m, 12m.

VerificatioN:-

➡ 16 + 16 + 12 = 44

➡ 44 = 44

➡ LHS = RHS

Hence verified.

Step-by-step explanation: