**We need you to answer this question!**

###### If you know the answer to this question, please register to join our limited beta program and start the conversation right now!

## Related Questions

###### Asked in Geometry

### Can an obtuse triangle have more than one obtuse angle?

No, an obtuse triangle can not have more than one obtuse angle.
This is because all of the angles have to add up to 180 and the
smallest obtuse angle you can have is 91 degrees. So 180-91=89. 89
degrees is the angle that you need to complete the triangle and it
is an acute angle. Therefore, you can not have more than one obtuse
angle in an obtuse triangle.

###### Asked in Math and Arithmetic, Algebra, Geometry

### What is angle E to the nearest degree in the triangle EFG where FG is 89 inches EG is 77 inches and angle G is 132 degrees?

This can be solved using the cosine rule to find the length of
side EF, and the sine rule to find angle E
The cosine rule is:
a² = b² + c² - 2bc cos A
we have:
A = G = 132°
a = EF
b = EG = 77 inches
c = FG = 89 inches
(the assignment of b and c doesn't matter as they are the two
sides of the angle A and are interchangeable for the cosine rule),
giving:
EF² = 77² + 89² - 2×77×89×cos 132°
→ EF = √(77² + 89² - 2×77×89×cos 132°)
The sine rule is: (sin A)/a = (sin B)/b = (sin C)/C
we have:
A = G = 132°
a = EF = √(77² + 89² - 2×77×89×cos 132°) inches (found
above)
C = E
c = FG = 89 inches
→ (sin 132°)/√(77² + 89² - 2×77×89×cos 132°) in = (sin E)/89
in
→ sin E = (89 sin 132°)/√(77² + 89² - 2×77×89×cos 132°)
→ E = arc sin((89 sin 132°)/√(77² + 89² - 2×77×89×cos 132°))
→ E ≈ 25.8°
→ E ≈ 26° to the nearest degree

Load More