Question

The sides of an isosceles triangle are28 ,28 ,10 and long. What is the area of the triangle?

Answer 1

Answer: Approximately 137.74977 square units

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Step-by-step explanation:

We can use Heron's formula to find the area of a triangle when given all three sides.

First we need the semiperimeter

s = semiperimeter

s = (perimeter)/2

s = (a+b+c)/2

s = (28+28+10)/2

s = 33

Now we can compute the area of the triangle.

`A = √(s(s-a)(s-b)(s-c))\\\\A = √(33(33-28)(33-28)(33-10))\\\\A = √(18975)\\\\A \approx 137.74977\\\\`