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Special Right Triangles
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# 005 30 60-90, 45-45-90

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### 005 30 60-90, 45-45-90

1. 1. GT Geom. DRILL 1/10/12 SIMPLIFY( exact answers) 1) (√7)(√6) 2)4√ 5 – 2√5 3) 5 4) 3√2 + 5√2 √10
2. 2. objective STW continue to work with the Pythagorean theorem and special right triangles
3. 3. THINK! In an isosceles right triangle the length of one leg is 5cm find the other two sides of a triangle. In an equilateral triangle the sides measure 6 cm find the height and then find the area.
4. 4. Theorem In a 45-45-90 triangle , the hypotenuse is √2 times the length of a leg.
5. 5. 45-45-90 triangle 45 x x√2 45 x
6. 6. Theorem In a 30-60-90 triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is √3 times as long as the shorter leg.
7. 7. 30-60-90 triangle 30 2x x√3 60
8. 8. Find z and y 2. 1. 30  3 45 y y 8 3. z z 4. 8 3 y  45 6 60  y
9. 9. Find z and y 1. 45 − 45 − 90 y a= x=3  45 3 b= x=3 z c= x 2 =3 2
10. 10. Find z and y 30 − 60 − 90 2. 30  a=x=4 y 8 b=x 3=4 3 c = 2x = 8 z
11. 11. Find z and y 3. 8 3 y  60 z
12. 12. Find z and y 4.  45 6 y z
13. 13. Classwork Worksheets 5.4