MPM1DW Date: __________________________ The Pythagorean Theorem states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Often it is simplified to a 2 b 2 c 2 , or c 2 a 2 b 2 , where c is the hypotenuse and a and b are the other two sides. The hypotenuse is always the longest side and the side That is opposite the right angle. Finding the hypotenuse is easy, because c 2 is the subject of the equation. Ex 1 a. Find the missing side length b. Finding one of the other unknown sides is more difficult because it requires rearranging the formula for a 2 o b 2 (it doesn’t matter whether you label the other sides a or b). Ex 2 Find the missing side length a. b. Word Problem: Ex 3 An 8m ladder is leaned against a wall and up to a window sill, the base of the ladder is 2.5m from the wall. How high up the wall does the ladder reach? Work Assignment Pg 26 # 1→7
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