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# Given the three points below, what is the area of the triangle formed

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Manager
Joined: 28 May 2014
Posts: 164

Kudos [?]: 99 [0], given: 62

Given the three points below, what is the area of the triangle formed [#permalink]

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16 Apr 2017, 05:00
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25% (medium)

Question Stats:

71% (01:41) correct 29% (00:23) wrong based on 31 sessions

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Given the three points below, what is the area of the triangle formed by connecting them?

(0,3), (-3,-3), (3,-3)

(A) 4.5
(B) 9
(C) 18
(D) 36
(E) 72
[Reveal] Spoiler: OA

Kudos [?]: 99 [0], given: 62

Manager
Joined: 05 Nov 2016
Posts: 92

Kudos [?]: 13 [0], given: 16

Re: Given the three points below, what is the area of the triangle formed [#permalink]

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16 Apr 2017, 10:50
With the given co-ordinates find the distance between the two points using $$\sqrt{(x2-x1)^2 + (y2-y1)^2}$$
Distance between points (0,3) & (3,-3) is $$\sqrt{-3^2+-6^2}$$=$$\sqrt{45}$$
Distance between points (0,3) & (-3,-3) is $$\sqrt{3^2+-6^2}$$ = $$\sqrt{45}$$
Distance between points (-3,-3) & (3,-3) is$$\sqrt{-6^2 +0}$$= 6

which is an isosceles triangle.
We need to find the height so that we can use the formula $$\frac{1}{2}$$*b*h
Height by Pythagoras theorem, h=$$\sqrt{45-6}$$= $$\sqrt{36}$$= 6

Area =$$\frac{1}{2}$$*6*6
=18
_________________

Kudos are always welcome ... as well your suggestions

Kudos [?]: 13 [0], given: 16

Intern
Joined: 01 Jan 2017
Posts: 8

Kudos [?]: -12 [0], given: 0

Location: India
Concentration: General Management, Other
WE: Engineering (Computer Software)
Given the three points below, what is the area of the triangle formed [#permalink]

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16 Apr 2017, 11:34
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saswata4s wrote:
Given the three points below, what is the area of the triangle formed by connecting them?

(0,3), (-3,-3), (3,-3)

(A) 4.5
(B) 9
(C) 18
(D) 36
(E) 72

(Ax,Ay)=(0,3)
(Bx,By)=(-3,-3)
(Cx,Cy)=(3,-3)

Area of a triangle = [Ax(By-Cy)+Bx(Cy-Ay)+Cx(Ay-By)]/2
= [0-3*(-3-3)+3*(3+3)]/2
=(18+18)/2 = 18

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Kudos [?]: -12 [0], given: 0

Director
Joined: 07 Dec 2014
Posts: 775

Kudos [?]: 204 [0], given: 8

Given the three points below, what is the area of the triangle formed [#permalink]

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16 Apr 2017, 13:30
saswata4s wrote:
Given the three points below, what is the area of the triangle formed by connecting them?

(0,3), (-3,-3), (3,-3)

(A) 4.5
(B) 9
(C) 18
(D) 36
(E) 72

base=6 [3-(-3)]
height=6 [3-(-3)]
area=1/2*6*6=18
C

Kudos [?]: 204 [0], given: 8

Given the three points below, what is the area of the triangle formed   [#permalink] 16 Apr 2017, 13:30
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