Question

The area of two similar triangle ABC and DEF are 36cm2 and 81 cm2respectively.
If EF=6.9cm,find BC

Answer 1

Step-by-step explanation:

given,

triangle ABC is similar to triangle DEF

the area of triangle ABC is 36cm square

the area of triangle DEF is 81 cm square

EF = 6.9 CM

if two triangles are similar then their corresponding sides are in the same ratio

Triangle ABC/Triangle DEF =BC/ EF

36/ 81= BC/ 6.9

WE know that,

the ratio of areas are equal to the ratios of squares of their corresponding sides

so,

36/81= (BC/6.9) square

root 36/81 = BC/6.9

6/9= BC/6.9

6×6.9 = BC×9

41.4/9=BC

4.6 = BC

therefore BC = 4.6

hope u like it !!

mark me as brainlist !