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Warm-up 9.3 Special Right Triangles

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 #1-16 485 #1-7. 9.3 Special Right Triangles. Conjectures.

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Warm-up 9.3 Special Right Triangles

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  1. Warm-up9.3 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.

  2. Answers to 9.1 and 9.2 H.W.pg 481 #1-16 485 #1-7

  3. 9.3 Special Right Triangles

  4. 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 ____ .

  5. 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

  6. 9.1 to 9.3 Practice Your Skills 1. 21 cm 2. 23.9 cm 3. 8 ft. 4. 13 in. 5. 19 ft26. 29.5 cm 7. 49.7 cm2 8. 92.4 cm2 9. No 10. Yes 11. Yes 12. AC = AB = 82 area = 1,229 u2 13. AC = 60 AB = 116 area = 2,459 u2 1. A = 55 cm2 P = 36 cm 2. A = 950 m23. h = 24 ft 4. 216 m2 5. 27 in 6.243. 96 cm27. 8. 2,666 cm2

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