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# Special Right Triangles and Area - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about ' Special Right Triangles and Area' - hedda-farrell

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Presentation Transcript

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

Find the lengths of the missing sides in the triangle. integer, leave it in simplest radical form.

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

60° integer, leave it in simplest radical form.

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. length of the shorter leg and the hypotenuse.

Find the area. The figure is not drawn to scale. length of the shorter leg and the hypotenuse.

Find the area of a parallelogram with the given vertices. length of the shorter leg and the hypotenuse.

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

10 units2

Find the value of length of the shorter leg and the hypotenuse.h in the parallelogram.

50 length of the shorter leg and the hypotenuse.

Find the area. The figure is not drawn to scale. length of the shorter leg and the hypotenuse.

Find the area. The figure is not drawn to scale. length of the shorter leg and the hypotenuse.

Find the area. The figure is not drawn to scale. length of the shorter leg and the hypotenuse.

Find the area. The figure is not drawn to scale. length of the shorter leg and the hypotenuse.

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.