Question

Help me it's about solutions of triangles

Answer 1

Answer:

Area of the triangle covered by the cars = 910.45 square km

Step-by-step explanation:

Since, all the sides of triangle ABC are given,

And formula for the area of a triangle with all sides given is,

Area = $\sqrt{s(s-a)(s-b)(s-c)}$

Here, s = $\frac{a+b+c}{2}$

And a, b, c are the measures of the sides of the triangle.

If a = 39 km, b = 87 km and c = 58 km

s = $\frac{39+87+58}{2}$

s = 92

Therefore, (s - a) = 92 - 39

                            = 53

(s - b) = 92 - 87

         = 5

(s - c) = 92 - 58

         = 34

Now area of the triangle ABC = $\sqrt{92(53)(5)(34)}$

                                                  = $\sqrt{828920}$

                                                  = 910.45 km²

Area of the triangle covered by the cars = 910.45 square km