Answers

2015-08-03T14:28:58+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
See diagram.
AC = 5 cm.  AD = 3 cm..      if AD = 3√5 cm then it is wrong,, as  AD < AC. AC is the longest line segment in the triangle ABC.

let BD = x,  BC = 2 x,    AE = y,  AB = 2 y

AD² = AB² + BD² = 4 y² + x²  = (3)² = 9 cm²      ---- (1)

AC² = AB² + BC² =>  4 y² + 4 x² = 5² = 25 cm²      ---- (2)

   (2) - (1) =>  3 x² = 16        => x = 4/√3 cm
               => y = √(11/12) cm

CE² = BC² + BE² = (2x)² + y² = 4 x² + y²  = 64/3 + 11/12 = 69/4 cm²
   CE = √69/2 cm

Since ABC is a right angle triangle,  BF = BE/2  = CE / 2  = 2.5 cm
  So BO = 2*2.5/3 = 5/3 cm  and  OE = 2.5/3 cm

1 5 1
click on thanks button above please