CMAT Exam 2023 Shift 1 Solved Paper

Question : 15 of 100

Marks: +1, -0

In the following diagram, if the shaded area is one half the area of triangle

A B C

and angle

A B C

is right angle then the length of line segment

A D

Solution:

In the question, it is given that area of triangle ABC is 2 times the area of triangle ABD

\;\;{1}/{2} x(y+z)=2 (\;{1}/{2} x y)

\;y+z=2 y

\;y=z

Triangles

A B C

and

A B D

are right-angled triangles.

\;W^2=x^2+4 y^2

\;W^2=x^2+y^2+3 y^2

\;A D^2=x^2+y^2

\;A D^2=W^2-3 y^2

\;A D={√{W^2-3 y^2}}

The answer is option C.

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