NTSE Stage 2 SAT 2016 Question Paper

Question : 56 of 100

Marks: +1, -0

ABC is a triangle in which AB = 4 cm, BC = 5 cm and AC = 6 cm. A circle is drawn to touch side BC at P, side AB extended at Q and side AC extended at R. Then, AQ equals :

7.0 cm
7.5 cm
6.5 cm
15.0 cm

Validate

Solution:

Perimeter of triangle

\ABC= \AB + \BC + \CA

15 = (\AQ – \BQ) + (\BP + \PC) + (\AR – \CR)

15 = 2\AQ

(BQ = BP, PC = RC, AQ = AR as tangent from external point to a circle are equal)
AQ = 7.5 cm
So the value of AQ is 7.5 cm

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