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Special Right Triangles and Area

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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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Presentation Transcript
slide2
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

slide3
In triangle ABC, is a right angle and 45°. Find BC. If you answer is not an integer, leave it in simplest radical form.
slide5
Find the length of the leg. If your answer is not an integer, leave it in simplest radical form.
slide7
Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
slide10
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

slide11
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

slide12
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

slide16
Find the area of the trapezoid. Leave your answer in simplest radical form.

5cm

h

60°

7cm

Find area.

Find h.

slide17
Find the area of the trapezoid. Leave your answer in simplest radical form.

11cm

h

60°

16cm

Find h.

Find area.

slide19
Find the area of kite KLMN.

L

3m

2m

M

K

5m

3m

KM=2+5=7

LN=3+3=6

N

slide20
Find the area of kite KLMN.

L

3m

1m

M

K

4m

3m

KM=1+4=5

LN=3+3=6

N

slide24
B

Find the area of rhombus ABCD.

15m

E

A

C

12m

D

AC=12+12=24

BD=9+9=18

slide25
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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