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Question
Two triangles have the same base and equal areas have their vertex lying on the same side of their base. The line joining the two apexes will be _______ to their base.
Two triangles have the same base and equal areas have their vertex lying on the same side of their base. The line joining the two apexes will be _______ to their base.
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Solution
The correct option is A parallel
Two triangles having the same base (or equal bases) and equal areas lie between the same parallels.
When two triangles have the same base and equal areas, it means they have equal altitudes or heights. So the third vertex will lie on the line parallel to their base. Thus, on joining them, the line produced will be parallel to the base.
Two triangles having the same base (or equal bases) and equal areas lie between the same parallels.
When two triangles have the same base and equal areas, it means they have equal altitudes or heights. So the third vertex will lie on the line parallel to their base. Thus, on joining them, the line produced will be parallel to the base.
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