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The Distance Formula & Pythagorean Theorem Learning Target: Students can find the distance between 2 points using the distance formula. Review the HW The Distance Formula x2 , y 2 x1 , y1 D (x x ) ( y y ) 2 1 2 1 2 2 Example Find the distance between (1, 4) and (-2, 3). Round to the nearest hundredths. D D D D ( x 2 2 x ) ( y y ) 2 1 2 1 (2 1) (3 4) (3) (1) 2 2 9 1 10 D D = 3.16 2 2 Example Find the distance between the points, (10, 5) and (40, 45). Round to the nearest hundredths. D D D D D ( x x ) ( y y ) (40 10) (45 5) (30) (40) 2 2 2 1 2 2 2 2 2 9001600 2500 D = 50 1 3. Find the distance between the points. Round to the nearest tenths. x2 x1 y2 y1 2 2 (4 1) ( 2 0) 2 94 13 2 4. Find the distance between the points. Round to the nearest tenths. x2 x1 y2 y1 2 2 Pythagorean Theorem leg leg hyp 2 2 2 Pythagorean Theorem Word Problems • A square has a diagonal with length of 20 cm. What is the measure of each side? Round to the nearest tenths. Pythagorean Theorem Word Problems • A 25 foot ladder is leaning against a building. The foot of the ladder is 15 feet from the base of the building. How high is the top of the ladder along the building? Round to the nearest tenths. Pythagorean Theorem Word Problems • Ashley travels 42 miles east, then 19 miles south. How far is Ashley from the starting point? Round to the nearest tenths. Pythagorean Theorem Word Problems • What is the length of the altitude of an equilateral triangle if a side is 12 cm? Round to the nearest tenths.