Question

Help me it's about solutions of triangles

about:
-sine rule
-cosine rule
-area of triangles​

Answer 1

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

Explanation:

Since, all the sides of triangle ABC are given,

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

Area =
`√(s(s-a)(s-b)(s-c))`

Here, s =
`(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 =
`(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 =
`√(92(53)(5)(34))`

=
`√(828920)`

= 910.45 km²

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