A triangle has sides measuring 3, 3√3, and 6 units.
What are the angle measures of the triangle?
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OpenStudy (anonymous):
@Darius25
OpenStudy (anonymous):
yep
OpenStudy (anonymous):
and were is the triangle
OpenStudy (anonymous):
It doesn't show it. The answers are:
A. 30°, 60°, 90°
B. 45°, 45°, 90°
C. 60°, 60°, 60°
D. 30°, 52°, 60°
OpenStudy (anonymous):
This triangle is a half of a quadrilateral triangle, therefore, the angles measures are: 30, 60, 90.
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OpenStudy (anonymous):
Thank you! Can you tell me how you figured it out?
OpenStudy (anonymous):
ill tell you
OpenStudy (anonymous):
he got it from the internet
OpenStudy (anonymous):
Okay?? Can you tell me how to do a similar problem?
OpenStudy (anonymous):
@thu1935
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OpenStudy (anonymous):
There are many ways.
a) use the right triangle identity: sise^2 + side^2 = hypotenuse^2
(3)^2 + (3V3)^2 = (6)^2
9 + 27 = 36
b) use triangle trigonomrtry -> sin A = 3/6 = 1/2 = sin 30 deg --> A = 30 deg
sin B = 3V3/6 = V3/2 = sin 60 deg. --> B = 60 deg