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[].

# 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[].

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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: ## Related content

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