The foot of an extension ladder is

Question

The foot of an extension ladder is

5

ft from a wall. The height that the ladder reaches on the wall and the length of the ladder are consecutive integers. How long is the​ ladder?

Answer 1

base of a right triangle = 5

L^2 = h^2 + 25

L=h+1

(h+1)^2 = h^2 +25

h^2 + 2h + 1 = h^2 +25

2h= 24

h = 12 feet is how high the ladder reaches on the wall

L= 13 feet is the length of the ladder

It's a 5-12-13 right triangle

13^2 = 5^2 + 12^2

169 = 25 + 144