Question

if triangle abc- triangle def area of triangle abc is 64 square centimeters and ratio corresponding sides is 4:6 then find area of triangle def​

Answer 1

Area of ΔDEF = 144 cm²

Step-by-step explanation:

ratio corresponding sides is 4:6

=> ΔABC ≈ Δ DEF

Area of similar triangle is in ratio of square of ratio of their sides

=> Area of ΔABC / Area of ΔDEF    =  (  Side of Δ ABC/ Side of ΔDEF)²

=>  64 / Area of ΔDEF    =  (  4/ 6)²

=>  64 / Area of ΔDEF    =  16/36

=> Area of ΔDEF = 64 * 36 / 16

=> Area of ΔDEF = 4 * 36

=> Area of ΔDEF = 144 cm²

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Answer 2

Answer:

,

Step-by-step explanation:

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