Respuesta :
Answer:
120.41 miles.
Step-by-step 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:
[tex](BC)^{2} =(AB)^{2} +(AC)^{2}[/tex]
[tex]=90^{2} +80x^{2} \\ \\ =8100+6400\\ \\ (BC)^{2} =14500[/tex]
Taking root both sides;
[tex]\sqrt[2]{(BC)^{2} } =\sqrt[2]{14500} \\ \\ BC=120.41\ miles[/tex]
Thus, length of the road is 120.41 miles.
