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Contact [7]
3 years ago
10

The shorter leg of a 30°-60°-90° triangle is 6. What is the length of the other leg?

Mathematics
2 answers:
VLD [36.1K]3 years ago
3 0
The length of the other leg is 12, I think, but I'm not sure. Sorry if it's wrong.
Rina8888 [55]3 years ago
3 0

Answer:

x=6\sqrt{3} units.

Step-by-step explanation:

It is given that shorter leg of a 30°-60°-90° triangle is 6.

In a triangle larger interior angle has larger opposite side and vice versa.

The length of shortest leg is 6 units it means it is opposite to the angle 30°.

Let the length of second leg be x.

In a right angle triangle,

\tan \theta =\dfrac{\text{Opposite}}{\text{Adjacent}}

\tan (30^\circ) =\dfrac{6}{x}}

\dfrac{1}{\sqrt{3}}=\dfrac{6}{x}}

On cross multiplication, we get

x=6\sqrt{3}

Hence, the length of the other leg is x=6\sqrt{3} units.

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