A 17 foot long lodder is leaning against a house the base of the ladder is 9 feet from the house how high up the house does the ladder reach​

Given: ladder = 17 m and base = 8 m

The ladder forms a right triangle with the base of 8 m, the wall will be 15 m and the ladder (hypotenuse) is 17 m.

Let’s say you did not know that this was a standard 8–15–17 right triangle.

This is how you can figure it out:

hypotenuse(h)2
2
= side21
1
2
+ side22
2
2

Let side1
1
= base and side2
2
= wall

172
2
= 82
2
+ wall2
2

wall = 172−82‾‾‾‾‾‾‾‾√
17
2
−
8
2

wall = 289−64‾‾‾‾‾‾‾‾‾√
289
−
64

wall = 225‾‾‾‾√
225

wall = 15 feet

>>>>>>>>>>15 feet

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