The perimeter of an isosceles triangle is 15.6m. find the lengths of its sides, if: b the base is 3m bigger than a leg

Length of an isosceles triangle is, 3.12 m

Step-by-step explanation:

Given: Perimeter of an isosceles triangle is 15.6 m.

Let a be the length of sides and b be the base of an isosceles triangle respectively.

To find the length of the sides(a);

Isosceles triangle is a triangle with two equal sides and two equal base angles.

Perimeter of the isosceles triangle is the sum of the three sides i,e

Perimeter(P) = a +b +a = 2a +b              

also it is given that; the base is 3 m bigger than a leg.

⇒ b = 3 a

Substitute this in perimeter formula;

P = 2a +3a =5a

Substitute the value of perimeter = 15.6 m

we have;

Divide both sides by 5 we get;

Simplify;

a  = 3.12 m

Therefore, the length of the sides of an isosceles triangle is, 3.12 m

65

step-by-step explanation: