In the given figure, andDelta;PQR is a right-angled triangle at Q. If PQ = 35 cm and QS = 28 cm and a semicircle pass from the point QRS, then what is the value (in cm) of SR?a)35.33b)37.33c)41.33d)43.33Correct answer is option 'B'. Can you explain this answer?

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In the given figure, ΔPQR is a right-angled triangle at Q. If PQ = 35 cm and QS = 28 cm and a semicircle pass from the point QRS, then what is the value (in cm) of SR?

a)
35.33
b)
37.33
c)
41.33
d)
43.33

Correct answer is option 'B'. Can you explain this answer?

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In the given figure, ΔPQR is a right-angled triangle at Q. If PQ...

Here ∠PQR is 90° and ∠QSR will also be 90° (Angle made by diameter of the circle)

⇒ ∠PSQ = 90°

Applying Pythagoras theorem in ∆PSQ,

⇒ PQ² = PS²+ SQ²

⇒ PS² = 35²- 28²

⇒ PS² = 1225 - 784

⇒ PS = 21 cm

Now ∆PQS and ∆QRS are similar triangles,

⇒ QS/RS = PS/QS

⇒ QS² = RS × PS

⇒ RS = QS²/PS

⇒ RS = (28 × 28)/21

∴ RS = 37.33 cm

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In the given figure, ΔPQR is a right-angled triangle at Q. If PQ = 35 cm and QS = 28 cm and a semicircle pass from the point QRS, then what is the value (in cm) of SR?a)35.33b)37.33c)41.33d)43.33Correct answer is option 'B'. Can you explain this answer?

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In the given figure, ΔPQR is a right-angled triangle at Q. If PQ = 35 cm and QS = 28 cm and a semicircle pass from the point QRS, then what is the value (in cm) of SR?a)35.33b)37.33c)41.33d)43.33Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about In the given figure, ΔPQR is a right-angled triangle at Q. If PQ = 35 cm and QS = 28 cm and a semicircle pass from the point QRS, then what is the value (in cm) of SR?a)35.33b)37.33c)41.33d)43.33Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the given figure, ΔPQR is a right-angled triangle at Q. If PQ = 35 cm and QS = 28 cm and a semicircle pass from the point QRS, then what is the value (in cm) of SR?a)35.33b)37.33c)41.33d)43.33Correct answer is option 'B'. Can you explain this answer?.

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