pythagorean theorem

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University of La Salette, Incorporated High School Department Malvar, Santiago City The Pythagorean Theorem Mr. Emerson R. Responzo Subject Teacher S. Y. 2009 – 2010

OBJECTIVES:At the end of the lesson you are expected to: : 

OBJECTIVES:At the end of the lesson you are expected to: state the relationship among the squares of the sides of a right triangle; and apply the Pythagorean Theorem in solving for the length of a missing side of a right triangle.

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I have here a set of letters: { Y , L , A , I , F , M } { F, A , M , I , Y , L } { F A M I L Y } What word can you form out of the elements of this set? What makes a Filipino Family so unique?

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Brgy. Tatsulok Family b Family a Family c

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b a c Activity Let us find out if we can form a bigger triangle by combining square a and square b.

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What can you conclusion can you form from the length of the hypotenuse and the legs?

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Theorem: In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. c2 = a2 + b2

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In right triangle ABC, where angle C is the right angle, If a = 9 and b = 12, then c = ___. If b = 6 and c = 2 √13, then a = ___. If a = 6 and c = 3 √13, then b = ___. How long is an altitude of an equilateral triangle if one of its sides is 8? A rectangle with a width of 18 cm has 30 cm diagonal. What is the length? c2 = a2 + b2 c2 = a2 + b2 c2 = (9)2 + (12)2 c2 = 81+ 144 c2 = 225 c = 15 15

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QUIZ QUIZ Find the length of the missing side in the following triangles. (Work sheets will be distributed)

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Theorem: In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. c2 = a2 + b2

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A 20 ft ladder is leaning against the building. The base of the ladder is 21 ft from the building. How high up the building does the ladder reach? ASSIGNMENT ASSIGNMENT