MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry
Problem
Two triangles, A and B, each have perimeter 36cm. Triangle A has sides 14cm, 12cm and 10cm. Triangle B has sides 16cm, 10cm and 10cm.
(i) Which triangle has its side lengths closer to being equal?
(ii) Without carrying out detailed numerical area calculations, explain logically which triangle is expected to enclose the greater area. Give clear reasons based only on the given side lengths.