Warm-up 9.3 Special Right Triangles Draw an equilateral triangle. Label the sides as 2 cm and label the angles. From a vertex draw the altitude. Mark any.

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Presentation transcript:

Warm-up 9.3 Special Right Triangles Draw an equilateral triangle. Label the sides as 2 cm and label the angles. From a vertex draw the altitude. Mark any congruent parts OR right angles.

Answers to 9.1 and 9.2 H.W. pg 481 # #1-7

9.3 Special Right Triangles

Conjectures The Pythagorean Theorem(C-81) In a right triangle, the sum of the squares of the lengths of the legs equals __________. Converse of the PythagoreanTheorem(C-82) If the lengths of the three sides of a triangle satisfy the Pythagorean equation, then the triangle _____________________. Isosceles Right Triangle Conjecture (C-83) In an isosceles right triangle, if the legs have length l, then the hypotenuse has length _________. 30°-60°-90° Triangle Conjecture (C-84) In a 30°-60°-90° triangle, if the shorter leg has length a, then the longer leg has length ____ and the hypotenuse has length ____.

Directions for Practice Your Skills This is the review for the 9.1 to 9.3 Quiz and Retest of Ch. 8. #6 of the Practice Your Skills is not mandatory Hint: You will use Binomial Squared! 12 and 13, you need to draw a line down the middle to separate it into two special right triangles. If you finish early, work on your card or the h.w. pg 494 1,2,6 and 9

9.1 to 9.3 Practice Your Skills cm cm 3. 8 ft in ft cm cm cm 2 9. No10. Yes11. Yes 12. AC = AB = 82 area = 1,229 u AC = 60 AB = 116 area = 2,459 u 2 1. A = 55 cm 2 P = 36 cm 2. A = 950 m 2 3. h = 24 ft m in cm ,666 cm 2