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Square QRST has perimeter p.
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03 Mar 2019, 04:02
03 Mar 2019, 04:02
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73% (01:00) correct
26% (01:09) wrong based on 155 sessions
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Square QRST has perimeter p.
Quantity A |
Quantity B |
\(x^2 + y^2\) |
\(\frac{p^2}{16}\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: Square QRST has perimeter p.
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05 Mar 2019, 05:30
05 Mar 2019, 05:30
1
ST^2 = x^2 + y^2 pythagorus theorum
Perimeter = 4ST(4 times the side of square)
p^2 = 16*ST^2
p^2/16 = st^2 = x^2+y^2
Hence both are same
Perimeter = 4ST(4 times the side of square)
p^2 = 16*ST^2
p^2/16 = st^2 = x^2+y^2
Hence both are same
Re: Square QRST has perimeter p.
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05 Mar 2019, 10:12
05 Mar 2019, 10:12
1
Square QRST has perimeter p, which means each side of the square has length P/4.
Notice the triangle with side x and y. Since it's a right triangle, x^2 + y^2 = ST^2 (by pythagorean theorem)
ST, which is one side of the square QRST, has length P/4, so ST^2 = (P/4)^2, which is P^2/16.
Answer choice C.
Notice the triangle with side x and y. Since it's a right triangle, x^2 + y^2 = ST^2 (by pythagorean theorem)
ST, which is one side of the square QRST, has length P/4, so ST^2 = (P/4)^2, which is P^2/16.
Answer choice C.
