సమబాహు త్రిభుజం యొక్క వైశాల్యం చతురస్రంలో సగం ఉంటుంది. త్రిభుజం యొక్క ఎత్తు మరియు చతురస్రం అంచు యొక్క నిష్పత్తి:

This question was previously asked in
RRC Group D Previous Paper 27 (Held On: 23 Sept 2018 Shift 2)
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Answer (Detailed Solution Below)

Option 4 :
Free
RRB Group D Full Test 1
100 Qs. 100 Marks 90 Mins

Detailed Solution

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చతురస్రం భుజ a (= 2 సెం.మీ) గా ఉండనివ్వండి

చతురస్రం వైశాల్యం = a 2 = 2 2 = 4 సెం.మీ 2

త్రిభుజం యొక్క వైశాల్యం = 4/2 = 2 సెం.మీ 2

త్రిభుజం యొక్క భుజం x సెం.మీ.

త్రిభుజం యొక్క వైశాల్యం = √3 / 4 × x 2

√3 / 4 × x 2 = 2

x 2 = 8 / √3

x = 2√2 / ∜3

సమబాహు త్రిభుజం యొక్క ఎత్తు (H) = √3 / 2 × x

H

త్రిభుజం యొక్క ఎత్తు, చతురస్రం యొక్క అంచుకు గల నిష్పత్తి = √ (2/3): 2 = √2: 2√3

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