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Pythagorean Theorem, Distance Formula and Midpoint Formula

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Pythagorean Theorem

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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.

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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.

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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.

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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.

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The Distance Formula Given two points:

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Example Find the distance between (1, 4) and (-2, 3). Round to the nearest hundredths. D 3.16

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Example Find the distance between the points, (10, 5) and (40, 45). Round to the nearest hundredths. D = 50

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3. Find the distance between the points. Round to the nearest tenths.

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4. Find the distance between the points. Round to the nearest tenths.

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Midpoint Given 2 ordered pairs, it’s the AVG of the x’s and AVG of the y’s. Given 2 ordered pairs, it’s the AVG of the x’s and AVG of the y’s.

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Midpoint Formula

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Find the midpoint. 1. (3, 7) and (-2, 4) 2. (5, -2) and (6, 14) (.5, 5.5) (5.5, 6)

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Find the midpoint. 3. (3, -9) and (14, 16) 4. (12, 17) and (-7, 9) (8.5, 3.5) (2.5, 13)

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Find the midpoint. 5. (2, 3)

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Find the midpoint. 6. (1.5, 4)

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Given the midpt and one endpt, find the other endpt. 7. Midpt (3, -6) Endpt (7, -3) (-1, -9)

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Given the midpt and one endpt, find the other endpt. 8. Midpt (-1, 2) Endpt (3, 0) (-5, 4)

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Given the midpt and one endpt, find the other endpt. 9. Midpt (-4, 6) Endpt (2, 1) (-10, 11)

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