If two triangles have equal area and stand on the same base, then the altitudes of the triangles are equal.

True

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False

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Solution

The correct option is A
True

Triangles on the same base (or equal bases) and having equal areas have equal altitudes.

This can be easily proved. Take two triangles: triangle-1 and triangle-2having same base 'b' and altitudes 'c' and 'd' respectively.

Area of Triangle-1 = $\frac{1}{2} \times b \times c$

Area of Triangle-2 = $\frac{1}{2} \times b \times d$

Since the triangles have the same area, c = d

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