Question

Using only a compass and straightedge, construct an isosceles triangle with base and legs congruent to the segments shown below.

Answer 1

I will write out the procedure to draw the isosceles triangle;

- Using the straight edge, measure the length of the base and draw a straight line congruent to the base length.

- Measure the length of the legs.

- Using the compass, set the compass to the same length as the length of the legs.

- From each edge of the base line drawn, Use the compass (already set to the length of the legs) to draw an arc each at the top of the base line;

- Then join each edge of the base line to the point at which the two arcs meet.

- Then you'll have an isosceles triangle, with base and legs as shown above.