Question
Download Solution PDFनीचे दी गयी आकृति में, ∠AED = ∠BAC, AD || BC, AD : BC = 7 : 9 और AC = 36 सेमी है, तो EC की लंबाई ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
∠AED = ∠BAC
AD || BC
AD : BC = 7 : 9
AC = 36 सेमी
अवधारणा:
त्रिभुज की समरूपता
गणना:
चूँकि ∠AED = ∠BAC
∠EAD = ∠ACB (वैकल्पिक आंतरिक कोण)
समरूपता का नियम AA (कोण-कोण)
∆EDA और ∆ABC समरूप हैं।
अब,
AD/BC = AE/AC
⇒ 7/9 = AE/36
⇒ AE = 28 सेमी
अब,
EC = AC – AE = 36 – 28 = 8 सेमी
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