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30-60-90 Triangles
Contribuição de: Jarvie

Which statement is false about a

30o-60o-90o triangle?

hypotenuse = 2 • shorter leg

longer leg = shorter leg • √3

longer leg = 2 • shorter leg

shorter leg = 1/2 • hypotenuse

In a 30o-60o-90o triangle,

the shorter leg is opposite which angle?

30o

30o

45o

45o

60o

60o

90o

90o

In a 30o-60o-90o triangle,

the longer leg is opposite which angle?

30o

45o

60o

90o

A
60o
3
C
B

Find the length of

BC and AC.

BC = 6; AC = 9

BC = 3√2; AC = 6

BC = 6; AC = 6√6

BC = 3√3; AC = 6

A
60o
20
C
B

Find the length of

AB and BC.

AB = 10; BC = 20√3

AB = 10; BC = 10√3

AB = 10√3; BC = 10

AB = 10; BC = 10√2

AB = 5√3; BC = 10

Find the length of the longer leg.

4

4√3

4√2

8√3

30o
8
Find the length of the shorter leg.

2

2√3

2√2

4√3

30o

4

Find the value of x.
x =
3√3
x

y

Find the value of each variable.
12√3
x
30o

x = 12; y = 6

x = 36; y = 6√3

x = 15; y = 6√2

x = 18; y = 6√3

16

60o
x
Find the value of x.

x = 8

x = 4√3

x = 8√3

x = 16√3

Find the value of x.

7

7.5

7.5√3

15√3

15
x
Find the value of y.

7

7.5

7.5√3

15√3

15
y
6
6
x
6

3

3√2

3√3

6√3

Find the value of x.
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