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Bunuel
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The vertices of a triangle are (3,1) (8,1) and (8,3). The area of this 17 Oct 2020, 10:00
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Question Stats:

89% (00:51) correct 11% (01:25) wrong based on 94 sessions

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The vertices of a triangle are (3,1) (8,1) and (8,3). The area of this triangle is

(A) 5
(B) 7
(C) 10
(D) 14
(E) 20
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A
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CrackverbalGMAT
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The vertices of a triangle are (3,1) (8,1) and (8,3). The area of this 17 Oct 2020, 19:50
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Bunuel
The vertices of a triangle are (3,1) (8,1) and (8,3). The area of this triangle is

(A) 5
(B) 7
(C) 10
(D) 14
(E) 20
Show more



The area of the triangle given the 3 vertices can be found using the method of determinants.

It is as shown in the figure below.


The area is = 0.5 [3(1 - 3) - 8(1 - 3) + 8(1 - 1)

= 0.5 [3 * (-2) - 8 * (-2) + 8 * (0)]

= 0.5 (-6 + 16)

= 5


Option A

Arun Kumar
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The vertices of a triangle are (3,1) (8,1) and (8,3). The area of this 18 Oct 2020, 13:18
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Bunuel
The vertices of a triangle are (3,1) (8,1) and (8,3). The area of this triangle is

(A) 5
(B) 7
(C) 10
(D) 14
(E) 20
Show more

This is a right triangle, so you can calculate its area using the formula A = ½bh using the two legs. The legs are (3,1) to (8,1), which has a length of 5, and (8,1) to (8,3), which has a length of 2. Therefore, the area is

→ A = ½bh = ½(5)(2) = 5.
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The vertices of a triangle are (3,1) (8,1) and (8,3). The area of this 18 Oct 2020, 13:57
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From the co-ordinates, it is a right angle triangle.
So area is altitude * base /2
Altitude is 2(3-1), base is 5(8-3)
So area is 5

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The vertices of a triangle are (3,1) (8,1) and (8,3). The area of this 18 Oct 2020, 18:52
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The triangle is a right triangle with legs of 5 (8-3) and 2 (3-1). Then, the area of the triangle is: S=5*2/2=5 A)
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The vertices of a triangle are (3,1) (8,1) and (8,3). The area of this 30 Aug 2023, 03:38
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