Mathematics
Mathematics
Problem
Triangles ABC and DEF are similar. Given AB = 12 cm, DE = 9 cm, the perimeter of triangle ABC is 60 cm and the perimeter of triangle DEF is cm. Find the value of .Intuitive explanation
When two triangles are similar, their corresponding sides are proportional—and this means their perimeters are proportional by the same ratio. Find the scale factor between the triangles by comparing one pair of corresponding sides, then use that same ratio to relate the perimeters and solve for . The key is recognizing that perimeter ratio equals side ratio.
Intuitive explanation
When two triangles are similar, their corresponding sides are proportional—and this means their perimeters are proportional by the same ratio. Find the scale factor between the triangles by comparing one pair of corresponding sides, then use that same ratio to relate the perimeters and solve for . The key is recognizing that perimeter ratio equals side ratio.