suppose a triangle has sides a,b, and c, and that a^2 + b^2 > c^2. let theta be the measure of the angle opposite the side of length c. Which of the following must be true? Check all that apply.
A)the triangle is a right triangle
B)the triangle is not a right triangle
C)theta is an acute angle
D)cos theta > 0
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OpenStudy (anonymous):
@cutepochacco
OpenStudy (anonymous):
I had options a c and d selected? is that right
OpenStudy (aric200):
No just A and B
OpenStudy (aric200):
Wait I am dumb
OpenStudy (aric200):
C. the is an acute angle.
B. The triangle is not a right triangle.
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OpenStudy (anonymous):
if a and are greater than c than it would not be a right triangle then right?
OpenStudy (aum):
If angle C is 90 degrees, a^2 + b^2 = c^2
If angle C is acute, a^2 + b^2 > c^2
If angle C is obtuse, a^2 + b^2 < c^2
OpenStudy (aum):
Since a^2 + b^2 > c^2, angle C is acute and this is NOT a right triangle.
OpenStudy (anonymous):
okay yay! I had it right then thanks @cutepochacco
OpenStudy (aum):
It is B, C and D.
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