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Essential Properties of 45-45-90 and 30-60-90 Right Triangles for Pre-Calculus

This resource covers essential theorems related to 45-45-90 and 30-60-90 right triangles, crucial for pre-calculus. In a 45-45-90 triangle, the legs are equal, and the hypotenuse is calculated by multiplying a leg's length by the square root of two. For a 30-60-90 triangle, the side opposite the 30-degree angle is half the hypotenuse, and the side opposite the 60-degree angle is the shorter side times the square root of three. Master these triangles to excel in upcoming math challenges!

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Essential Properties of 45-45-90 and 30-60-90 Right Triangles for Pre-Calculus

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  1. 9.4 Special Right Triangles 45-45-90 30-60-90 Exceedingly Essential for Pre-Cal

  2. Theorem In a Right triangle, if the acute angles are 45 degrees, then the legs are equal and the hypotenuse equals the length of the leg times square root of two.

  3. Solve for x

  4. Solve for x

  5. Solve for a

  6. Solve for a

  7. Theorem In a Right triangle, if the acute angles are thirty degree and sixty degree, then the side across the hypotenuse is twice the side across from the thirty degree angle. The side across from the sixty degree equals the sides across from the thirty degree angle times square root of three.

  8. Solve for x and r

  9. Solve for x and r

  10. Find r and x

  11. Find r and x

  12. Find r and x

  13. Burn into your memory the 30-60-90 and 45-45-90 triangles. When you do the Unit Circle, you will need it

  14. Homework Page 554 – 555 # 12 - 26

  15. Homework Page 554 – 555 # 27 - 34, 37, 38, 42, 47 - 49

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