2023 · Q2
Three circles of radius 5 cm each, touch each other. If the points of contact are P, Q and R, then what is the area of the triangle PQR in sq. cm?
general-mental-abilityquantitative-aptitude
- A25√3/6
- B25√3/4
- C25√3/2
- D25√3
Explanation
The centres of the three mutually touching circles of radius 5 cm form an equilateral triangle of side 10 cm. The points of contact P, Q and R are the mid-points of its sides, so triangle PQR is the medial triangle with side 5 cm. Its area is (root3/4) x 25 = 25 root3/4 sq. cm. Hence option B.