CBSE Class 8 Mathematics
Question 4 of 12
Proportional Reasoning 2 — Question 4
Back to all questions 4
Question Construct a triangle with sidelengths in the ratio 3 : 4 : 5. Will all the triangles drawn with this ratio of sidelengths be congruent to each other? Why or why not?
We can construct triangles with sides in the ratio 3 : 4 : 5. They will not be congruent to each other. Reason: Triangle 1: Let sides 3 cm, 4 cm, 5 cm Triangle 2: Let sides 6 cm, 8 cm, 10 cm Triangle 3: Let sides = 9 cm, 12 cm, 15 cm Though all these triangles have the same ratio (3 : 4 : 5), their actual sizes are different. Congruent triangles must have the same shape and size. These triangles have the same shape (they are similar) but different sizes. Hence, they are not congruent.