The perimeter of an isosceles triangle is equal to 14cm, the lateral side is to the base in the ratio 5:4. The area of the triangle is[[1]].

# The perimeter of an isosceles triangle is equal to 14cm, the lateral side is to the base in the ratio 5:4. The area of the triangle is[[1]].

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### Solution:

Given:
Lateral side of the triangle: Base side of the triangle: Perimeter The perimeter of the triangle is equal to the sum of all the three sides of the triangle.
Thus, Simplify, we get,
Semi-perimeter is half of the perimeter:
Now, using the Heron’s formula:
Simplify the above equation:
Hence, the area of the triangle is:

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