Question

1 call a is 90 miles from town B and 18 miles from town C-Town a B and C are forming a right triangle at a a road connecting Town B and C directly find the length of the road

Answer 1

91.78

Using the patharam theorem

Answer 2

120.41 miles.

Explanation:

Given:

A is 90 miles from town B and 18 miles from town C-

Town a B and C are forming a right triangle at a a road connecting Town B and C directly.

Question asked:

Find the length of the road that means longest side of the triangle, BC = ?

Solution:

AB = 90 miles

AC = 80 miles

BC = ?

As we know:

By Pythagoras Theorem:

`(BC)^(2) =(AB)^(2) +(AC)^(2)`

`=90^(2) +80x^(2) \\ \\ =8100+6400\\ \\ (BC)^(2) =14500`

Taking root both sides;

`\sqrt[2]{(BC)^(2) } =\sqrt[2]{14500} \\ \\ BC=120.41\ miles`

Thus, length of the road is 120.41 miles.