जर, BC = 6cm, आणि, तर खालीलपैकी कोणता पर्याय सत्य आहे?

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 3)
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  1. \(QR = 6cm,\angle R = {75^o}\)
  2. \(QR = 6cm,\angle Q = {75^o}\)
  3. \(QR = 6cm,\angle P = {75^o}\)
  4. \(PR = 6cm,\angle P = {75^o}\)

Answer (Detailed Solution Below)

Option 3 : \(QR = 6cm,\angle P = {75^o}\)
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Detailed Solution

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दिलेली माहिती:

\(\Delta ABC \cong \Delta PQR\)

BC = 6सेमी

\(\angle A = {75^o}\)

वापरलेली संकल्पना:

जर तिन्ही संगत बाजू समान असतील आणि तिन्ही संगत कोन अंशाने समान असतील तर दोन त्रिकोण एकरूप आहेत, असे म्हटले जाते.

गणना:

जर ABC आणि PQR हे त्रिकोण एकरूप असतील, तर :

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∠A = ∠P and ∠B = ∠Q

Δ PQR ची QR बाजू ही Δ ABC च्या बाजू BC सारखी असावी, ज्यामुळे दोन त्रिकोण एकरूप होतील.

\(QR = 6cm,\angle P = {75^o}\)

Hence the correct option is Option(3).

म्हणून पर्याय(3) हा योग्य पर्याय आहे.

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