Answer:
The length of hypotenuse is 45 kilometers
Step-by-step explanation:
Assuming that given lengths are of perpendicular and hypotenuse, and the triangle is a right angled triangle
Perpendicular = P = 27 km
Base = B = 36 km
Hypotenuse = H = ?
We can use Pythagoras theorem for finding the length of hypotenuse
The Pythagoras theorem is given by:
[tex]H^2 = B^2+P^2[/tex]
Putting the values, we get
[tex]H^2 = (36)^2 + (27)^2\\H^2 = 1296 + 729\\H^2 =2025[/tex]
Taking square root on both sides
[tex]\sqrt{H^2} =\sqrt{2025}\\H =45[/tex]
Hence,
The length of hypotenuse is 45 kilometers
