ABC DEF If BC 3 cm EF 4 cm and area of ABC 54 sq cm Determine the area of DEF...

Question

ABC DEF If BC 3 cm EF 4 cm and area of ABC 54 sq cm Determine the area of DEF

Accepted Answer

Solution The square of any ratio between any two corresponding sides of two similar triangles is equal to the ratio of their areas From the question it is given that ABC DEF BC 3 cm EF 4 cm Area of ABC 54 sq cm We know that Area of ABC area of DEF BCsup2supEFsup2sup 54area of DEF 3sup2sup4sup2sup 54area of DEF 916 By cross multiplication we get Area of DEF 54 169 6 16 96 cmsup2sup

ML Aggarwal Solutions Class 10 Mathematics Solutions for Similarity Exercise 13.3 in Chapter 13 - Similarity