Question

4. Area of triangle ABC is 60 sq cm. BD:DC =1:2 . What is the area

of triangle ABD​

Answer 1

Answer:

yes

Step-by-step explanation:

it will help full for you

Answer 2

Given :  In triangle abc  

bd : dc = 1 : 2

area of triangle abc is 60 sq.cm.

To find :  area of triangle abd​

Solution:

Lets draw am ⊥  bc

Area of Triangle abc  =  (1/2) * bc * am   = 60

area of triangle abd​ = (1/2) * bd * am

area of triangle acd​ = (1/2) * cd * am

area of triangle abd​ + area of triangle acd​  = Area of Triangle abc

=> (1/2) * bd * am  +  (1/2) * cd * am  =    60

bd : dc = 1:2

=> dc  =  2bd

(1/2) * bd * am  +  (1/2) * (2 bd ) * am  =    60

(1/2) * bd * am  ( 1  + 2 )  = 60

=> (1/2) * bd * am  ( 3) = 60

=>  (1/2) * bd * am = 20

area of triangle abd​ = 20 cm²  

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