Determine the largest angle if the angles of a triangle are in the ratio 3 : 4 : 5.
75°
The correct answer is 75°.
Obtuse-angled triangle: One angle is greater than $90^\circ$. The ratio 3:4:5 indicates that the angle measures increase proportionally. The largest part of the ratio (5) corresponds to the largest angle, and the smallest part (3) corresponds to the smallest angle. This relationship holds true for any set of positive numbers in a ratio representing angles.
Similar Questions
If tan 3 θ = cot(θ - 22°), where 3 θ is an angle, find the value of θ.
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Important Questions from Circular Measure of Angles
Which of the following values of A and B satisfies, sin(A + B) = sin A + sin B, where
If tan 3 θ = cot(θ - 22°), where 3 θ is an angle, find the value of θ.
The value of 4cos\(\left( {\frac{\pi }{6}\, - \,\alpha } \right)\) sin\(\left( {\frac{\pi }{3}\, - \,\alpha } \right)\) is equal to:
1 + tan 15° cot 75° is equal to:
If tan θ = 1/√5, find the value of cosec2θ – sec2θ.
