Question

how do you find leg one and two of a right triangle with having all angle sides and the hypotenuse given?

Answer 1

If you are asking about a specific problem, please post it here. Thanks.

Answer 2

I was talking about in general, but as an example

you have a right triangle (ABC, C=90 degrees) c= 24 find sides a and b angle A=25 B=65

Answer 3

Would you click on the blue DRAW tab and draw a picture of the triangle? Put the angle and side measures on the diagram. Be sure to mark the right angle. I think we'll need some right triangle trigonometry for this.

Answer 4

does this make sense?

Answer 5

This makes great sense.

Do you know the trig functions: sine, cosine, and tangent as related to side ratios of a right triangle?

Answer 6

yes, I missed a week of math and this is review from 2 years ago so I remember the Soh Cah Toa and I understand the inverse just not how to apply it to this problem

Answer 7

Look at angle A.
Cos(25 degrees) = b/24. That equation comes from the cosine of an acute angle of a right triangle being the ratio of the adjacent leg to the hypotenuse.
It's your turn.
Do you remember how to get the cosine of 25 degrees?

Answer 8

I forgot to say that there is an online calculator if you don't have a physical one handy.

Answer 9

thank you so much, this makes sense!

Answer 10

Great but let's work the problem.
Did you get cosine of 25 degrees?

Answer 11

yes, I worked out the problem, I got B= 65degrees as I already noted, and then for side b=22 and side a= 10

Answer 12

I got b = 21.75 approx.

How did you get side a? Which trig equation?

Answer 13

I rounded for both answeres and used pythagorean therom!

Answer 14

Okay.