SATHEE: Quantitative Aptitude Ques 77

Quantitative Aptitude Ques 77

Question: If I is the in centre of $ \Delta ABC $ and $ \angle BIC=135{}^\circ , $ then $ \Delta ABC $ is

Options:

A) acute angled

B) equilateral

C) right angled

D) obtuse angled

Show Answer

Answer:

Correct Answer: C

Solution:

$ \because \angle BIC=135{}^\circ $ In $ \Delta BIC, $ $ \angle BIC+\angle IBC+\angle ICB=180{}^\circ $

$ \Rightarrow $ $ \angle IBC+\angle ICB=180{}^\circ -135{}^\circ =45{}^\circ $

$ \Rightarrow $ $ 2\angle IBC+2\angle ICB=90{}^\circ $

$ \Rightarrow $ $ \angle B+\angle C=90{}^\circ $ Now, $ \angle A+\angle B+\angle C=180{}^\circ $

$ \therefore $ $ \angle A=90{}^\circ $ Hence, $ \Delta ABC $ is a right angled triangle.

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Quantitative Aptitude Ques 77

Question: If I is the in centre of $ \Delta ABC $ and $ \angle BIC=135{}^\circ , $ then $ \Delta ABC $ is

Options:

Answer:

Solution:

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