Question
Download Solution PDFনীচে দেওয়া চিত্রে, ∠AED = ∠BAC, AD || BC, AD : BC = 7 : 9 এবং AC = 36 সেমি হয়, তাহলে EC এর দৈর্ঘ্য নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
∠AED = ∠BAC
AD || BC
AD : BC = 7 : 9
AC = 36 সেমি
ধারনা:
ত্রিভুজের সাদৃশ্যতা
গণনা :
যদিও, ∠AED = ∠BAC
∠EAD = ∠ACB (বিকল্প অভ্যন্তরীণ কোণ)
সাদৃশ্যতার নিয়ম AA(কোণ- কোণ)
∆EDA এবং ∆ABC সদৃশ হয়।
এখন,
AD/BC = AE/AC
⇒ 7/9 = AE/36
⇒ AE = 28 সেমি
এখন,
EC = AC – AE = 36 – 28 = 8 সেমি
∴ EC এর মান হল 8 সেমি
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