6. An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find
the area of the triangle.
Answers
Answer:
Area of the isosceles triangle = 36 cm
Step-by-step explanation:
Given :
Perimeter of the isosceles triangle = 30 cm
Two equal sides are of 12 cm
To find :
Area of the triangle
Concept :
First find the third side of the isosceles triangle . So , to find the third side use this equation -:
Where,
T = Third side of the isosceles triangle
P = Perimeter
After that use this formula to find the area of the triangle.
Where,
A = Area
H = Height
B = Base
Solution :
Third side of the isosceles triangle -:
So , the third side of the isosceles triangle is 6 cm .
Area of the isosceles triangle -:
So , the area of the isosceles triangle is 36cm .
First,let the third side be x.
It is given that the length of the equal sides us 12 cm and it's perimeter is 30 cm.
So,
So,the length of the third side is 6 cm.
Thus,the semi perimeter of the isosceles triangle (s) = 30/2 cm =15 cm
By using Heron's Formula,
Area of the triangle,