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# Special Right Triangles and Area - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about ' Special Right Triangles and Area' - duane

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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

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

5cm

h

60°

7cm

Find area.

Find h.

11cm

h

60°

16cm

Find h.

Find area.

Find the area of kite KLMN. the kite?

L

3m

2m

M

K

5m

3m

KM=2+5=7

LN=3+3=6

N

Find the area of kite KLMN. the kite?

L

3m

1m

M

K

4m

3m

KM=1+4=5

LN=3+3=6

N

B in. long.

Find the area of rhombus ABCD.

15m

E

A

C

12m

D

AC=12+12=24

BD=9+9=18

Find the area of rhombus ABCD. in. long.

B

13m

24m

E

A

C

12m

12m

D

AC=12+12=24

BD=5+5=10