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An exercise of geometry

Welcome in France !

Make an isoscele triangle ABC in A.

AB = 8 cm and BC = 6 cm --> The base is down.

Find the midpoint N of the base.

Make a semi-circle whose the centre is N. The radius of the semi-circle is 2 cm.

Be careful : the semi-circle is inside of the isoscele triangle.

The two intersections of the semi-circle with the base are called O and P.

Draw the mediator of ABC.

Draw a perpendeicular line (d) to [AN]. The length between A and this line is 4,5 cm.

Draw an another perpendicular (f) line to [AN] but this time, the length between A and this line is 3 cm.

The intersections of (f) and [AB] and [AC] are called R and S.

The intersections of (d) and [AB] and [AC] are called T and U.

The intersection of (f) and [AN] is called K.

The intersection of (d) and [AN] is called J.

Make a circle C whose the centre is J with a radius of 1,3 cm

Make a circle C' whose the centre is K with a radius of 1 cm

The intersections of C and (d) are called W and X

The intersections of C' and (f) are called Z and Y.

Draw the lines segments [YW] and [ZX]. You must have the trapezium WXYZ.

Erase the line segment [OP].

Erase the line segment [TW].

Erase the line segment [XU].

Erase the line segment [RZ].

Erase the line segment [SY].

Erase the circles C and C'.

Now you must guess which famous and French monument is it ?

Posted in Group9.


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