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Question

In the construction of a 90 angle, we make use of the fact that all the sides of an equilateral triangle are equal. True or False?


A

True

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B

False

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Solution

The correct option is B

False


As shown in the figure, a 60 angle can be made by first drawing a line segment, cutting an arc centred at one end of the segment. Then a second arc centred at the point where the previous arc intersects the line segment can be drawn, cutting the previous arc at a point. Then joining the end point of the segment and the point of intersection of two arcs will give a 60 angle. The triangle ABP here is an equilateral triangle. So we can see that the concept behind an equilateral triangle can be used in constructing only 60 angle but not a 90angle. 90 is constructed by using property of perpendicular bisector .


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