SOLUTION: In triangle ABC, angle A is a right angle, angle B measures 60 degrees, and AC = 7. How are AB and BC related? Determine AB and BC. Then give exact values for sin 60, cos 60, and t
Algebra ->
Angles
-> SOLUTION: In triangle ABC, angle A is a right angle, angle B measures 60 degrees, and AC = 7. How are AB and BC related? Determine AB and BC. Then give exact values for sin 60, cos 60, and t
Log On
Question 620612: In triangle ABC, angle A is a right angle, angle B measures 60 degrees, and AC = 7. How are AB and BC related? Determine AB and BC. Then give exact values for sin 60, cos 60, and tan 60. Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! "In triangle ABC, angle A is a right angle, angle B measures 60 degrees."
So ABC is a 30-60-90 triangle (because , , and are the angle measures).
If A is the right angle, then BC (opposite o angle A) is the hypotenuse.
AB and AC are legs of the right triangle.
Consider an equilateral triangle> It has three angles and is split by each altitude into two congruent 30-60-90 triangles.9 (Call one of those angles, angle B).
In each of those right triangles, the short leg is half as long as the hypotenuse (BC), so for the smallest angle . .
And then,
