4. Area of triangle ABC is 60 sq cm. BD:DC =1:2 . What is the area
of triangle ABD
Answers
Answer:
yes
Step-by-step explanation:
it will help full for you
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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