SOLUTION: I think this is more Precalculus; Triangle ABC is a right triangle with an angle of C=90 degrees. Length AC= 3 square root 3, and angle B= 30 deg. Find AB and BC. I cant s

Question 691924: I think this is more Precalculus;
Triangle ABC is a right triangle with an angle of C=90 degrees. Length AC= 3 square root 3, and angle B= 30 deg.
Find AB and BC.
I cant seem to figure it out even though I drew what I read.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you draw out a triangle, you'll see that AC is opposite the 30 degree angle.

So AC is the shortest leg.

The hypotenuse is twice the shortest leg, so the hypotenuse is 6*sqrt(3) units long.

So AB = 6*sqrt(3)

The longer leg is sqrt(3) times the shortest leg, so the longer leg is 9 units long. This is because 3*sqrt(3) times sqrt(3) = 3*srt(3*3) = 3*sqrt(9) = 3*3 = 9

So BC = 9
RELATED QUESTIONS
When given that the hypotenuse is 96cm with a right angle triangle: if the sharpest angle (answered by josgarithmetic,ikleyn)

In the right triangle ABC, AC= 12, angle B= 30 degrees, Angle C= 90 degrees, and Angle A= (answered by Alan3354)

Struggling with this proof. Let triangle ABC be such that angle C=90 degrees, angle A=60... (answered by richard1234)

In right triangle ABC where angle A is 90 degrees, AC = 3x and BC = 5x. if the perimeter... (answered by edjones,drk)

in right triangle ABC, AB=20, AC=12, BC=16 and angle c is 90 degrees. find to the nearest (answered by Alan3354)

ΔABC is a 30-60-90 triangle, with the right angle at A, 30� angle at B, and 60�... (answered by nyc_function)

There is a right triangle, ABC. Angle C is the right angle. Angle A is 22 degrees. Line... (answered by checkley77)

if a triangle ABC exists then what is the length of AB if AC=10 BC=6 and the angle ACB=... (answered by stanbon)

I have a right triangle ABC. I know angle A is 90 degrees. Angle B is "3x" and angle C is (answered by jim_thompson5910)