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ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.
  • a)
    3 cm
  • b)
    7 cm
  • c)
    5 cm
  • d)
    8 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm...
There are several possible ways to solve this equation. Here are a few methods:

1. Graphing: Plot the graphs of y = 2x and y = -x^2 + 4. The solution(s) will be the x-coordinates of the points where the two graphs intersect.

2. Substitution: Solve one equation for one variable and substitute it into the other equation. For example, solve the first equation for x: x = y/2. Substitute this expression for x into the second equation: y = -(y/2)^2 + 4. Simplify and solve for y. Once you have the value(s) of y, substitute them back into the first equation to find the corresponding x-value(s).

3. Elimination: Multiply the first equation by 2 to make the coefficients of x in both equations the same. This gives us 2x = y. Substitute this expression for y in the second equation: y = -x^2 + 4. Simplify and solve for x. Once you have the value(s) of x, substitute them back into the first equation to find the corresponding y-value(s).

Note that the solutions to this equation may be real numbers, complex numbers, or a combination of both, depending on the specific values of x and y.
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Community Answer
ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm...
It is because of Pythagoras property
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ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.a)3 cmb)7 cmc)5 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer?
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ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.a)3 cmb)7 cmc)5 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.a)3 cmb)7 cmc)5 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.a)3 cmb)7 cmc)5 cmd)8 cmCorrect answer is option 'C'. Can you explain this answer?.
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