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In triangle FGH, the base has a length of FH = 126.3, and th
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01 Feb 2020, 17:23
01 Feb 2020, 17:23
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43% (01:51) correct
56% (01:43) wrong based on 37 sessions
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In triangle FGH, the base has a length of FH = 126.3, and the altitude from G to FH is constructed and has a length of h. What could be the value of h if we know that the area of the triangle is an integer?
Indicate all possible values of h.
A. 30
B. 40
C. 50
D. 75
E. 80
F. 100
G. 125
H. 150
Re: In triangle FGH, the base has a length of FH = 126.3, and th
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03 Feb 2020, 08:05
03 Feb 2020, 08:05
so area of FGH = (126,3 *h) / 2 = integer
--> in order to get an integer, (h* 0,3) /2 must be an integer. That is the case, when the units digit of h/2 is 0
--> therefore answers B, E and F are possible (e.g.. 40/2 * 0,3 = 20*0,3 = 6 in contrast to e.g. 30/2 *0,3 = 15*0,3 = 4,5 => no integer)
--> in order to get an integer, (h* 0,3) /2 must be an integer. That is the case, when the units digit of h/2 is 0
--> therefore answers B, E and F are possible (e.g.. 40/2 * 0,3 = 20*0,3 = 6 in contrast to e.g. 30/2 *0,3 = 15*0,3 = 4,5 => no integer)
Re: In triangle FGH, the base has a length of FH = 126.3, and th
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04 May 2020, 04:57
04 May 2020, 04:57
1
area of FGH = (126.3 *H) / 2
=1236*H/20
we know that 1236 is not fully divisible by 20 so H must be an integer which is fully divisible by 20
in options 40,80 AND 100 are only integers which are fully visible by 20
=1236*H/20
we know that 1236 is not fully divisible by 20 so H must be an integer which is fully divisible by 20
in options 40,80 AND 100 are only integers which are fully visible by 20
