Home › CAT › quantitativeaptitude › Geometry & Mensuration › A triangle has sides 5, 12 and 13. The radius of…
A triangle has sides 5, 12 and 13. The radius of its inscribed circle (inradius) is:
A$2$
B$3$
C$2.5$
D$1$
Answer & Solution
Correct answer: A. $2$
Right triangle (5² + 12² = 13² = 169). Area = ½ × 5 × 12 = 30. Semiperimeter s = (5 + 12 + 13)/2 = 15. Inradius r = Area/s = 30/15 = 2.
Related questions
In a 30-60-90 right triangle, the side opposite the 30° angle has length 5. The side opposThree rope pieces have lengths 4, 6 and 11 metres. Can they form a triangle?The sum of the interior angles of a hexagon is:A cone has radius 3 and height 4. Its slant height is:A cylindrical water tank has radius 7 m and height 5 m. Its volume (using π = 22/7) is:The area of a circle of radius 7 cm (using π = 22/7) is:A cube's side doubles. By what factor does its VOLUME grow?A right triangle has legs 6 and 8. The length of the hypotenuse is: