In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively

In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC?

  1. 17.05
  2. 22.45
  3. 26.25
  4. 27.85

Answer

Circumradius, R = abc/4Δ = (AB*AC*BC)/4Δ

Area of triangle, Δ = 1/2 * BC * AD

R = (AB*AC)/2*AD

R = (17.5*9)/(2*3) = 26.25

The correct option is C.