Latest Elitmus Aptitude Question SOLUTION: ABCD are four point in a plane such that ABD and DBC form two triangle. area of ABD is 10 unit and area of BDC is 20 unit. what is the ratio of length (AD/DC)

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ABCD are four point in a plane such that ABD and DBC form two triangle. area of ABD is 10 unit and area of BDC is 20 unit. what is the ratio of length (AD/DC)

Asked In Elitmus navneet (11 years ago)

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Shalu Jain  (11 years ago)

base is common for both of the triangles
area(abd)/area(bdc)=10/20
=>(1/2)*bd*h1)/(1/2*bd*h2)=1/2
=>h1/h2=1/2
h1 and h2 are parallel (as they are perpendicular 2 same line)
from this we can say that,
respective angles are same for both the triangle.
so ,
ad/dc=1/2 (ans)

Is this solution Helpfull? Yes (11) | No (18)  

sugandh  (7 years ago)

ABCD are four points in a plane such that ABD and DBC form two triangles. Area of ABD is 10 units and area of BDC is 20 units. What is the ration of lengths (AD/DC)?
i) Points ADC are collinear
ii) DB is 5 units long and is perpendicular to AC.

Is this solution Helpfull? Yes (11) | No (3)  

Pargat Pal Singh  (11 years ago)

If ABC are in a straight line and DB is perpendicular to ABC, then
AD/DC= sqrt(41/89)

Is this solution Helpfull? Yes (2) | No (9)  

DIKSHA RANGNANI  (11 years ago)

shalu - triangle is not a right triangle so we cannot apply this 1/2 base height
and two diagrams can be made ....
i m confused

Is this solution Helpfull? Yes (2) | No (3)  

lakhan jain  (5 years ago)

Sugandh according to your question(data sufficiency) ,the answer will be choice B (the question can be answered by either stmt alone)

Is this solution Helpfull? Yes (2) | No   

@bh!  (11 years ago)

the answer is 1/2

Is this solution Helpfull? Yes | No (5)  

pavan  (11 years ago)

navneet plz give me your mobile number i want to talk plzzzzzz help me

Is this solution Helpfull? Yes | No (1)  

Dipak Shaw  (11 years ago)

Area of triangle ABD = 2 * Area of Triangle BDC
from this condition,
AD/DC = 1/2

Is this solution Helpfull? Yes | No (3)  

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