A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/6$ . If side C has a length of $18$ and the angle between sides B and C is $( pi)/2$ , what are the lengths of sides A and B?

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A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/6$ . If side C has a length of $18$ and the angle between sides B and C is $( pi)/2$ , what are the lengths of sides A and B?

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Answer 1 · 2016-02-16T07:09:22

Length of side A is $36$ and that of side B is $18sqrt3$ .

Explanation:

It is right angled triangle, whose one of the perpendicular side C (opposite angle $pi/6$ ) is $18$ , and hypotenuse is A. As $sin(pi/6)=1/2$ , A is twice the size of C and is $36$ and using Pythagoras Theorem, B will be $sqrt(36^2-18^2)$ or $sqrt972$ or $18sqrt3$ .

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A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/6$ . If side C has a length of $18$ and the angle between sides B and C is $( pi)/2$ , what are the lengths of sides A and B?

1 Answer

Explanation:

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Science

Math

Humanities

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A triangle has sides A, B, and C. The angle between sides A and B is (pi)/6(pi)/6. If side C has a length of 18 18 and the angle between sides B and C is ( pi)/2( pi)/2, what are the lengths of sides A and B?

1 Answer

Explanation:

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Impact of this question

A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/6$ . If side C has a length of $18$ and the angle between sides B and C is $( pi)/2$ , what are the lengths of sides A and B?