Book Maths Puzzle Area and Volume

A 13-foot ladder is resting at an angle against a building. The distance from the bottom of the ladder to the edge of the building is 7 feet less than the distance from the top of the ladder down to the ground. What is the height at which the ladder touches the building and what is the distance from the bottom of the ladder to the building??

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Book Other Question

The hypotenuse of a right triangle is 2 feet longer than its longest leg. The length of the shorter leg is 8 feet. What is the length of the hypotenuse and the longer leg? 2/x^2-1=2/x

I have a few more I need help on. Seeing the steps would help me figure out where I am going wrong.

n=81jk^2 for k

solve the next one by completing the square