+0  
 
+1
51
1
avatar+1432 

In a triangle ABC, AD = 3 cm, and [ABC] = 162/3 cm2. Find the ratio of [ACD] to [BCD].

 Jun 9, 2021
 #1
avatar
+1

AD = 3            [ABC] = 162/3           BD = x

 

(√3x)(3 + x) = 2(162/3)

 

x = 51/3

 

CD = (2*162/3 ) / 81/3 = 4

 

[ACD] = 6 cm2

 

[BCD] = [ABC] - [ACD] = 102/3 cm2

 

[ACD] / [BCD] = 9/16 smiley

 Jun 10, 2021

10 Online Users