Draw a triangle ABC with BC=10cm,AB=9cm and A11cm. on your diagram, draw and label the locus of points which are equidistant from B and C
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To draw the triangle ABC and the locus of points equidistant from B and C, you can follow these steps:
1. Start by drawing a horizontal line segment BC of 10 cm in length.
2. Mark point B at one end of BC.
3. From point B, measure 9 cm along the line segment BC and mark point A.
4. Set your compass to a radius of 11 cm.
5. Place the compass needle on point B and draw an arc that intersects BC.
6. Without changing the compass radius, place the compass needle on point C and draw another arc that intersects BC.
7. Label the intersections of the arcs with BC as D and E, respectively.
8. Connect points D and E with point A to form the triangle ABC.
9. Now, to draw the locus of points equidistant from B and C, you will use the perpendicular bisector of BC.
10. Find the midpoint of BC by measuring the distance from B and C and marking the halfway point. Label this point as M.
11. Using a straightedge or ruler, draw a line perpendicular to BC through point M.
12. Extend this line indefinitely on both sides.
13. Label this line as the locus of points equidistant from B and C.
The triangle ABC is now complete, and you have drawn the locus of points equidistant from B and C.