Special right triangles and area
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45°- 45° - 90°. 30° - 60° - 90°. Area of Parallelogram. Area of Triangles. Pythagorean Theorem. 10. 10. 10. 10. 10. 20. 20. 20. 20. 20. 30. 30. 30. 30. 30. 40. 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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45°- 45° - 90°

30° - 60° - 90°

Area of Parallelogram

Area of Triangles

Pythagorean Theorem

10

10

10

10

10

20

20

20

20

20

30

30

30

30

30

40

40

40

40

40

50

50

50

Special Right Triangles and Area


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


Find the length of the hypotenuse.


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


Find the lengths of the missing sides in the triangle.


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


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


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


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


Find the area. The figure is not drawn to scale.


Find the area. The figure is not drawn to scale.


Find the area of a parallelogram with the given vertices.

P(1, 3), Q(3, 3), R(7, 8), S(9, 8)

10 units2


Find the value of h in the parallelogram.


50


Find the area. The figure is not drawn to scale.


Find the area. The figure is not drawn to scale.


Find the area. The figure is not drawn to scale.


Find the area. The figure is not drawn to scale.


Find the length of the missing side. The triangle is not drawn to scale.


Find the length of the missing side. The triangle is not drawn to scale.


Find the length of the missing side. The triangle is not drawn to scale.


Find the area of the triangle. Leave your answer in simplest radical form.


A triangle has sides that measure 33 cm, 65 cm, and 56 cm. Is it a right triangle? Explain

It is a right triangle because the sum of the squares of the shorter two sides equals the square of the longest side.


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