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: Trigonometry
In a right triangle ABC, the right angle is at B. Which of the following is true about the other two angles A and C? , In a right triangle ABC, the right angle is at B. Which of the following is true about the other two angles A and C?
In a right triangle ABC, the right angle is at B. Which of the following is true about the other two angles A and C?
A.
There is no restriction on the measure of the angles
There is no restriction on the measure of the angles
B.
Both the angles should be obtuse
Both the angles should be obtuse
C.
Both the angles should be acute
Both the angles should be acute
D.
One of the angles is acute and the other is obtuse
One of the angles is acute and the other is obtuse
Solution
C. Both the angles should be acute
Explanation
In triangle ABC, ∠A + ∠B + ∠C =180 °
∠A + ∠C= 180° – 90 ° = 90° ⇒None of the angles can be ≥ 90 °
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