ABC DEF If area of ABC 9 sq cm area of DEF 16 sq cm and BC 21 cm find the length of EF...

Question

ABC DEF If area of ABC 9 sq cm area of DEF 16 sq cm and BC 21 cm find the length of EF

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 Area of ABC 9 sq cm Area of DEF 16 sq cm We know that area of ABCarea of DEF BCsup2supEFsup2sup area of ABCarea of DEF BCsup2supEFsup2sup 916 BCsup2supEFsup2sup 916 21sup2supxsup2sup 21x 916 21x By cross multiplication we get 21 4 3 x 84 3x x 843 x 28 Therefore EF 28 cm

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