Question

A 13 foot ladder leans against the side of a house with its base 3 feet from the house use pythagorean theorem to approximate how high the ladder reaches up the side of the house

Answer 1

Answer:  The ladder reaches up approx. 4√10 feet.

Step-by-step explanation

See attached figure first.

Using Pythagoras theorem,

$AB^{2} +BC^{2} =AC^{2}$

$AB^{2} + (3)^{2} = (13)^{2}$

$AB^{2}$ + 9  =  169

$AB^{2}$   =  169 - 9

$AB^{2}$   =  160

$AB$   =  √160

AB   =   4√10  (find square root by prime factorization)

Hope this helps!!

Mark as brainliest!!