In the given figure, AB = 6cm. Find the area ...

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In the given figure, AB = 6cm. Find the area of the triangle ADC.

1. CD = 4cm
• a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
• b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
• c)
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
• d)
• e)
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Let's analyse Statement 1 -
given : CD = 4cm.
However, This doesn't help us determine the area of the ∆ ADC, which is given by 1/2 * base * height.
= 1/2 * CD * height.
Height cannot be determined here since the values of angles are unknown.

Statement 2 -
therefore,
,and
hence,
->Angle (ABD) = 90
this implies that AB is the altitude for ∆ADC.
An altitude by defn is the perpendicular distance between the base and the opposite vertex.
Now, AB = 6cm
but, the base length is unknown.

Hence, Statement 2 is also insufficient.

1 & 2 together -

Now, base = 4cm
height = 6cm
Hence, area = 0.5 *6*4.
AREA = 12 SQCM.

Therefore, you guessed it, the Correct Answer is (C).

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