\(\Delta\)ABC मध्ये\(\overline {AD}\)  \(\angle\)A ला दुभाजक आहे आणि D हा \(\overline {BC}\) वर एक बिंदू आहे. जर m (\(\overline {AC}\)) = 4.2 सेमी, m (\(\overline {BD}\)) = 4 सेमी आणि m (\(\overline {BC}\)) = 7 सेमी, तर m (\(\overline {AB}\)शोधा.

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RRB Group D 6 Oct 2022 Shift 1 Official Paper
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  1. 5.2 सेमी
  2. 4.2 सेमी
  3. 4.8 सेमी
  4. 5.6 सेमी

Answer (Detailed Solution Below)

Option 4 : 5.6 सेमी
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Detailed Solution

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दिले आहे:

 \(\Delta\)ABCमध्ये, \(\overline {AD}\)  ला दुभाजक आहे आणि D हा  \(\overline {BC}\)  वर एक बिंदू आहे. (\(\overline {AC}\)) = 4.2 सेमी, m (\(\overline {BD}\)) = 4  सेमी आणि m (\(\overline {BC}\)) = 7. सेमी

गणना:

DC = BC - BD = 7 - 4 = 3 सेमी

कोन दुभाजक प्रमेयानुसार:

AB : AC = BD : DC

⇒ AB : 4.2 = 4 : 3

⇒ AB = 4 × 4.2/3

⇒ AB = 5.6 सेमी

म्हणून, आवश्यक मूल्य 5.6 सेमी आहे.

 
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