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ar( ABC) /ar(DEF) = AB²/DE² ( area theorem)
169/121 = (26)²/DE²
√169/√121 = 26 /DE
13/11 = 26 / DE
1/11 = 2/DE
which implies the DE = 22
arnav5046:
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Answer:
22 cm
Step-by-step explanation:
Given, ΔABC ~ ΔDEF.
⇒ Area(ΔABC) = 169 cm²
⇒ Area(ΔDEF) = 121 cm².
By area of similar triangle theorem,
∴ Area(ΔABC)/Area(ΔDEF) = AB²/DE²
⇒ 169/121 = (26)²/DE²
⇒ DE² = 81796/169
⇒ DE² = 484
⇒ DE = 22 cm.
Therefore, the value of DE = 22 cm
Hope it helps!
it's 22 na
u wrote 44
mistake..will correct..Thank you
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