if triangles ABC~DEF such that BC=2.1 cm and EF=2.8.if the area of triangle DEF is 16cm^2,then the area of triangle ABC is in sq cm
Answers
Answer:
I think the answer is 11.21
Given : ΔABC ~ ΔDEF
BC=2.1 cm and EF=2.8 cm
area of triangle DEF is 16 cm²
To Find : Area of triangle ABC
Solution:
ΔABC ~ ΔDEF
Corresponding sides of similar triangles are in proportion
Hence
AB/DE = BC/EF = AC/DF
BC/EF = 2.1/2.8 = 3/4
Ratio of Area of similar triangles = ( Ratio of corresponding sides)²
Area of ΔABC / Area of ΔDEF = (BC/EF)²
=> Area of ΔABC / 16 = (3/4)²
=> Area of ΔABC / 16 = 9/16
=> Area of ΔABC = 9
Area of triangle ABC is 9 cm²
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