The areas of two similar triangles abc and def are 144 cm2 and 81 cm2 , respectively. if the longest side of larger abc be 36 cm, then find the longest side of the similar triangle def
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we know that triangle ABC and triangle DEF are similar.
let AB and DE be the longest side of similar triangles respectively.
now, ar(ABC)/ar(DEF)= AB^2/DE^2
therefore DE=27cm
let AB and DE be the longest side of similar triangles respectively.
now, ar(ABC)/ar(DEF)= AB^2/DE^2
therefore DE=27cm
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Answer:area of triangle ABC by area of triangle def = longest side of triangle ABC by longest side of def
144 36^2
___ = ____
81 DE ^2
DE^2= 36^2*81
_______
144
DE^2= 729
DE= 27
Step-by- step explanation:
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