a. Draw a triangle similar to the one drawn opposite.

(i) Measure the length of side AB and let this be the base of the triangle.

(ii) Draw on your diagram a line which represents the height of the triangle.

(iii) Measure the height of your triangle.

(iv) Calculate the area of your triangle.

b. Draw another triangle identical to the one you drew in part (a).

(i) Measure the length of side BC and let this be the base of the triangle.

(ii) Draw on your diagram, a line which represents the height of the triangle.

(iii) Measure the height of your triangle.

(iv) Calculate the area of your triangle.

c. Draw another triangle identical to the ones you drew in parts (a) and (b).

(i) Measure the length of side AC and let this be the base of the triangle.

(ii) Draw on your diagram, a line which represents the height of the triangle.

(iii) Measure the height of your triangle.

(iv) Calculate the area of your triangle.

d. What do you notice about the area of each of the three triangles you drew? Comment carefully on the reasons for any differences or similarities in your answers.