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Q.

State true or false:

All triangles have the same base and same altitude. Observe the triangles below and state the answer.

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a

True

b

False

answer is A.

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Detailed Solution

Here, we have to find whether all triangles have the same base and same altitude or not.
Question Image

Question Image

The area of a triangle is half of the product of its base and height.
Now, it can be observed that each of the four triangles have the same altitude and base.
Their common base AB can be easily identified and all the vertices viz., F, E, D and C lie on the same line.
As their vertex lies on the same line, the distance from the vertex to base or altitude is also the same for all the triangles.
Hence, the statement is true.
Hence, the correct option is (1).

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