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Q.

State true or false:

Triangles having the same base have equal area.

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a

True

b

False

answer is B.

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Detailed Solution

Here, we have to find whether the triangles that have same base have equal area or not.
The area of a triangle with base length say ‘b’ and height say ‘h’ is given as,

12 (b × h)

So, this implies that the base and altitude of a triangle affect its area.
Also, triangles can have different heights even if their bases are the same.
So, we can say that even if the triangles have the same base, their areas may differ.
But this contradicts the given statement.
Hence, the statement is false.
Hence, the option (2) is correct.

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