Question

ken leans a 12-foot ladder against his house. He places the ladder so that the base is 5 feet from the house. How far up does the ladder reach?

Answer 1

the pythagoras's theorm is being applied here
hyp is 12 ft
base is 5 ft
sqrt 12^2- 5^2 = height
10.9 ft

Answer 2

Use Pythgoras theorem

here hypotenuse = 12 foot
base = 5 ft
perpendicular = ?

Answer 3

a^2+b^2=c^2,

the base is the 5 feet for b
the ladder 12 is c, so then you figure out a