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Special Right Triangles and Area

45°- 45° - 90°. 30° - 60° - 90°. Trapezoid. Kite. Rhombus. 10. 10. 10. 10. 10. 20. 20. 20. 20. 20. 30. 30. 30. 30. 30. 40. 40. 40. 40. 50. 50. 50. Special Right Triangles and Area.

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Special Right Triangles and Area

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  1. 45°- 45° - 90° 30° - 60° - 90° Trapezoid Kite Rhombus 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 50 50 50 Special Right Triangles and Area

  2. In triangle ABC, is a right angle and 45°. Find BC. If you answer is not an integer, leave it in simplest radical form.

  3. Find the length of the hypotenuse.

  4. Find the length of the leg. If your answer is not an integer, leave it in simplest radical form.

  5. Find the lengths of the missing sides in the triangle.

  6. Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

  7. 60° 8 x 30° y Find the value of each variable. Shorter Leg 8 = 2x x = 4 Longer Leg y = x√3 y = 4√3

  8. Find the lengths of a 30°-60°-90° triangle with hypotenuse of length 12. 60° 12 x 30° y Shorter Leg 12 = 2x x = 6 Longer Leg y = x√3 y = 6√3

  9. The longer leg of a 30°-60°-90° has length 18. Find the length of the shorter leg and the hypotenuse. 30° 60° 18 x y Shorter Leg Hypotenuse

  10. Find the area of the trapezoid. Leave your answer in simplest radical form. 5cm h 60° 7cm Find area. Find h.

  11. Find the area of the trapezoid. Leave your answer in simplest radical form. 11cm h 60° 16cm Find h. Find area.

  12. A kite has diagonals 9.2 ft and 8 ft. What is the area of the kite?

  13. Find the area of kite KLMN. L 3m 2m M K 5m 3m KM=2+5=7 LN=3+3=6 N

  14. Find the area of kite KLMN. L 3m 1m M K 4m 3m KM=1+4=5 LN=3+3=6 N

  15. Find the area of kite with diagonals that are 12 in. and 9 in. long.

  16. Find the area of the rhombus.

  17. B Find the area of rhombus ABCD. 15m E A C 12m D AC=12+12=24 BD=9+9=18

  18. Find the area of rhombus ABCD. B 13m 24m E A C 12m 12m D AC=12+12=24 BD=5+5=10

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