SSC Exam > SSC Questions > In ∆PQR, ∠Q is right angle, S is th...
Start Learning for Free
In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS is
- a)3 cm
- b)√13 cm
- c)√5 cm
- d)8 cm
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In ∆PQR, ∠Q is right angle, S is the mid-point of the side P...
Using Pythagoras's theorem,
⇒ PR2 = PQ2 + QR2
⇒ PR2 = 42 + 62
⇒ PR = √52 cm = 2√13
⇒ PS = PR/2 = √13
⇒ PR2 = PQ2 + QR2
⇒ PR2 = 42 + 62
⇒ PR = √52 cm = 2√13
⇒ PS = PR/2 = √13
Most Upvoted Answer
In ∆PQR, ∠Q is right angle, S is the mid-point of the side P...
Given Information
- Triangle PQR is a right triangle with ∠Q as the right angle.
- Side lengths: PQ = 4 cm and QR = 6 cm.
- S is the midpoint of side PR.
Finding Length of PS
1. Calculate PR using the Pythagorean theorem:
- Since triangle PQR is a right triangle, we can apply the theorem:
\[
PR^2 = PQ^2 + QR^2
\]
\[
PR^2 = 4^2 + 6^2 = 16 + 36 = 52
\]
\[
PR = \sqrt{52} = 2\sqrt{13} \text{ cm}
\]
2. Determine the length of PS:
- Since S is the midpoint of PR:
\[
PS = \frac{PR}{2} = \frac{2\sqrt{13}}{2} = \sqrt{13} \text{ cm}
\]
Conclusion
The length of PS is thus calculated to be \(\sqrt{13}\) cm, which corresponds to option 'B'.
- Triangle PQR is a right triangle with ∠Q as the right angle.
- Side lengths: PQ = 4 cm and QR = 6 cm.
- S is the midpoint of side PR.
Finding Length of PS
1. Calculate PR using the Pythagorean theorem:
- Since triangle PQR is a right triangle, we can apply the theorem:
\[
PR^2 = PQ^2 + QR^2
\]
\[
PR^2 = 4^2 + 6^2 = 16 + 36 = 52
\]
\[
PR = \sqrt{52} = 2\sqrt{13} \text{ cm}
\]
2. Determine the length of PS:
- Since S is the midpoint of PR:
\[
PS = \frac{PR}{2} = \frac{2\sqrt{13}}{2} = \sqrt{13} \text{ cm}
\]
Conclusion
The length of PS is thus calculated to be \(\sqrt{13}\) cm, which corresponds to option 'B'.
|
Explore Courses for SSC exam
|
|
In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer?
Question Description
In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer?.
In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In ∆PQR, ∠Q is right angle, S is the mid-point of the side PR. If PQ = 4 cm, QR = 6 cm, then the length of PS isa)3 cmb)√13 cmc)√5 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice SSC tests.
|
|
Explore Courses for SSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup