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19 Jul 2017, 23:31
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D
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Difficulty:
45%
(medium)
Question Stats:
69% (02:17) correct
31%
(02:12)
wrong
based on 55
sessions
History
Date
Time
Result
Not Attempted Yet
Triangle ABC is symmetric about the y-axis. Point A is located at (-4,0), and AB is the longest side of ABC. If the perimeter of ABC is 18, what is the area?
A. 3√2
B. 6
C. 6√2
D. 12
E. 24
A. 3√2
B. 6
C. 6√2
D. 12
E. 24
20 Jul 2017, 02:41
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one co-ordinate of the triangle is (4,0) so the horizontally opposite co-ordinate is (4,0) as the triangle is symmetrical about y-axis.
length of this line of triangle is 4-(-4) = 8.
as the perimeter is 18, sum of remaining two sides = 10 and so the length of each side is 5
if we consider half part of the triangle, it is a right angled triangle with hypotenuse = 5, base = 4 making height = 3
so it is a triangle with height = 3 and base = 8, hence area = 1/2 * 8 * 3 = 12 ... option D
length of this line of triangle is 4-(-4) = 8.
as the perimeter is 18, sum of remaining two sides = 10 and so the length of each side is 5
if we consider half part of the triangle, it is a right angled triangle with hypotenuse = 5, base = 4 making height = 3
so it is a triangle with height = 3 and base = 8, hence area = 1/2 * 8 * 3 = 12 ... option D
20 Jul 2017, 08:24
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Anushree15
Agreed with D
For better illustration please follow attached fig.
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