SOLUTION: The lengths of a triangle sides are 5 m, 5 m and 2 m. Calculate the area of the triangle. Give the answer in 0,1 m2 precision. Is it 5.1 m^2??

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Question 408568: The lengths of a triangle sides are 5 m, 5 m and 2 m. Calculate the area of the triangle. Give the answer in 0,1 m2 precision.
Is it 5.1 m^2??

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Either using Heron's formula or drawing an altitude onto the base of length 2 will work (since the triangle is isosceles and we can use Pythagorean theorem). I'll present the first solution since it works for any triangle of given side lengths.

Applying Heron's formula, we have semiperimeter = (5 + 5 + 2)/2 = 6. Thus, the area of the triangle is

sqrt%28%286%29%286-5%29%286-5%29%286-2%29%29+=+sqrt%2824%29+=+4.899 sq meters.