Answer to Question #99048 in Geometry for Kristy

Question

I have a 30-60-90 triangle one side opposite the hypotenuse is 3.000" long what are the other two sides? I thought 3.464 short side and hypotenuse 6.928 is this correct?

Answer 1

No, not right.

c is the hypotenuse.

if a = 3.000, then

с = a/sin(30^o) = 6.000

$b = \sqrt {c^2-a^2}$

b = 5.196

if b = 3.000, then

с = b/sin(60^o) = 3.464

a = c*sin(30^o) = 1.732