Answer:
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Step-by-step explanation:
<u>Triangle Solving</u>
If we had a triangle will its three sides of known length, we can solve for the rest of the parameters of the triangle, i.e. the area, perimeter and internal angles.
The three circles have diameters 900 m, 700 m and 600 m and are tangent to each other externally. The distances from their centers (where houses are located) are the sum of each pair of the radius of the circles. Thus, the sides of the triangle are
The internal angles can be computed by using the cosine's law
Where \alpha, \beta and \gamma are the opposite angles to x, y and z respectively. Solving for each one of them:
Similarly
The other angle is computed now
The area can be found by