RRB NTPC Mains or Stage 2 Model Paper 10 with solutions

Question : 28 of 120

Marks: +1, -0

With the vertices of DABC as centres, three circles are described each touching the other two externally. If the sides of the triangle are 4, 6 and 8 cm, respectively, then the sum of the radii of the three circles equals :

Validate

Solution:

r_1 + r_2 = 4, r_2 + r_3 = 6 and r_3 + r_1 = 8

⇒ 2 (r_1 + r_2 + r_3) = 18

r_1 + r_2 + r_3 = 9 cm

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