SATHEE: Quantitative Aptitude Ques 73

Quantitative Aptitude Ques 73

Question: Three circles of radii 4 cm, 6 cm and 8 cm touch each other pairwise externally. The area of the triangle formed by the line segments joining the centres of the three circles, is

Options:

A) $ 6\sqrt{6},cm^{2} $

B) $ 24\sqrt{6},cm^{2} $

C) $ 144\sqrt{13},cm^{2} $

D) (d) $ 12\sqrt{105},cm^{2} $

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Answer:

Correct Answer: B

Solution:

From figure, AB = 12 cm, BC = 14 cm and CA = 10 cm Area of $ \Delta ABC $ $ =\sqrt{s,(s-a)(s-b)(s-c)} $ $ =\sqrt{18,(18-14)(18-12)(18-10)} $ $ [ \because s=\frac{a+b+c}{2} ] $ $ =\sqrt{18\times 4\times 6\times 8}=24\sqrt{6},cm^{2} $

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Quantitative Aptitude Ques 73

Question: Three circles of radii 4 cm, 6 cm and 8 cm touch each other pairwise externally. The area of the triangle formed by the line segments joining the centres of the three circles, is

Options:

Answer:

Solution:

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