Question

Draw four different triangles(drawings don't need to be shown) with side a=2cm and side b=5cm (you decide the length of side c). Look at the triangles you created. What do you notice about the different lengths of line c? Write an inequality that shows the possible lengths for line c (the triangle inequality theorem will help you):​

Answer 1

Explanation:

Triangle 1: c = 7 cm

Triangle 2: c = 4 cm

Triangle 3: c = 3 cm

Triangle 4: c = 6 cm

The lengths of line c vary and can be any value greater than 0 and less than (a + b) = (2 + 5) = 7 cm. Therefore, the inequality that shows the possible lengths for line c is 0 < c < 7.