SSC CGL Model Paper 3

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Question : 71 of 100

Marks: +1, -0

Find the area (in cm

^{2}

) of largest square that can be inscribed in a Δ with side lengths 3cm, 4cm and 5cm.

$144/50$
$144/49$
$72/25$
$85/36$

Solution:

Clearly,

1/2×3×4=1/2×(3-a)×a+a^2

+1/2×a×(4-a)

⇒

6={3a}/2-a^2/2+a^1+{4a}/2-a^2/2

⇒

6={7a}/2⇒a=12/7⇒

a^2=144/49

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