Question

*जर △ ABC ~ △ DEF असून AB = 12 सेमी and DE = 14 सेमी. तर △ ABC आणि △ DEF यांच्या क्षेत्रफळाचे गुणोत्तर किती?.*

1️⃣ 49/9
2️⃣ 49/16
3️⃣ 36/49
4️⃣ 25/49​

Answer 1

Given :-

• △ ABC ~ △ DEF .
• AB = 12 cm.
• DE = 14 cm.

To Find :-

• Area ∆ABC / Area ∆DEF = ?

Solution :-

we know that,

• Ratio of areas of two similar triangles = ratio of square of their corresponding sides .

so,

→ Area ∆ABC / Area ∆DEF = (AB/DE)²

→ Area ∆ABC / Area ∆DEF = (12 / 14)²

→ Area ∆ABC / Area ∆DEF = (6 / 7)²

→ Area ∆ABC / Area ∆DEF = (36 / 49) (3) (Ans.)

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