Pythagorean Theorem.

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Presentation transcript:

Pythagorean Theorem

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. x = 14.1 cm

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. x = 20 ft

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. x = 46.1 miles

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. x = 10.4 cm

The Distance Formula

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

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

3. Find the distance between the points. Round to the nearest tenths. 3.6

4. Find the distance between the points. Round to the nearest tenths. 5.4

4. Find the distance between the points. Round to the nearest tenths. 5

Classifying Triangles by Sides Equilateral – 3 congruent sides Isosceles – 2 congruent sides Scalene – No sides congruent Congruent = Same Distance

Conclusions Parallel Same slope means sides are parallel Opposite reciprocal slopes mean perpendicular segments (90) Distance Same distance means segments are congruent