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in a previous lesson we learned about the Pythagorean theorem we learned that a squared plus b squared equals c squared and we learned how to find missing sides of a right triangle we were also able to use the Pythagorean theorem to prove if a triangle was indeed a right triangle using the converse of the theorem today we are going to use the Pythagorean theorem to help us solve real-world situations so in this first situation as you can see in the picture we have a ladder leading up against the building now the latter reaches 18 feet high up on the building it is 8.7 feet sorry 8.7 feet away from the base of the building we want to know how long is the ladder well believe it or not we can use the same strategy we used in the previous lesson we write out the Pythagorean theorem which I have already done for you and then we're going to assign some values we're going to label are right triangle so notice they kind of Drew in the right triangle now we know the longest side

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