9. At Ethan's tree Farm, the taller trees are braced by wires that extend 2 feet below the top of a tree, to a stake in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree?

22'

Step-by-step explanation:

25^2=15^2+x^2   where x=tree height less the 2' from the top

x=20'

Add the 2' from wire connection to top of tree.

22'

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.

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