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# Which of the following statements about triangle PQR shown i

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Which of the following statements about triangle PQR shown i [#permalink]  07 Nov 2019, 11:30
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35% (00:52) correct 64% (02:26) wrong based on 14 sessions
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#greprepclub Which of the following statements about triangle PQR shown.jpg [ 17.76 KiB | Viewed 1643 times ]

Which of the following statements about triangle PQR shown in the xy-plane are true? Indicate all such statements.

A. PQR is a right triangle.
B. The area of PQR, is $$\frac{15}{2}$$.
C. PQR is an isosceles triangle.
[Reveal] Spoiler: OA

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Re: Which of the following statements about triangle PQR shown i [#permalink]  23 Nov 2019, 16:36
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Slope QR = -1/2
Slope RP = 2
the lines QR and RP are perpendicular, PQR is a right triangle

$$QR=\sqrt{5}$$
$$RP=\sqrt{45}$$
$$Area of triangle PQR =(\sqrt{5}*\sqrt{45})/2=15/2$$

Distance PQ is not equal to distance QR or PR

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Re: Which of the following statements about triangle PQR shown i [#permalink]  14 Jun 2020, 06:30
mouda wrote:
Slope QR = -1/2
Slope RP = 2
the lines QR and RP are perpendicular, PQR is a right triangle

$$QR=\sqrt{5}$$
$$RP=\sqrt{45}$$
$$Area of triangle PQR =(\sqrt{5}*\sqrt{45})/2=15/2$$

Distance PQ is not equal to distance QR or PR

When 2 lines are perpendicular, so that makes it a right triangle?
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Founder
Joined: 18 Apr 2015
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Kudos [?]: 3001 [1] , given: 11253

Re: Which of the following statements about triangle PQR shown i [#permalink]  14 Jun 2020, 09:15
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Expert's post
Yes

We have been writing this https://greprepclub.com/forum/gre-prep- ... html#p5077

Soon all you do need for math is right there.

For now arithmetic and algebra chapters are done almost

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Re: Which of the following statements about triangle PQR shown i   [#permalink] 14 Jun 2020, 09:15
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