When detemining whether a triangle is impossible, one of the ways is to look at the sides of a triangle, right?. Would a triangle with sides b = 12, a = 9.8, and c = 23 be possible? i dont think so, but would like to make sure.
2007-01-03 14:09:15 · 8 answers · asked by helllo1124 1 in Science & Mathematics ➔ Mathematics
You're right, it's not possible
In any triangle, the length of any 2 sides has to be greater than the third.
12 + 9.8 = 21.8
This is smaller than 23, so it's impossible =)
2007-01-03 14:11:09 · answer #1 · answered by teekshi33 4 · 2⤊ 0⤋
Add up the lengths of two sides of the triangle. If the combined lengths is not greater than the third length, then the triangle is impossible.
This must hold true for all three possible pairs of sides, but if you add up the two smallest ones and that works, then the other two pairs will work as well.
In this case, the two smallest legs are 12 and 9.8.
Add those up and you get 21.8.
This triangle is impossible like you thought because 21.8 is less than 23, the last leg.
2007-01-03 14:19:53 · answer #2 · answered by vinnistelrooy 2 · 1⤊ 0⤋
No, because a + b < c. In any triangle, the sum
of any 2 sides must be greater than the third.
2007-01-03 14:13:42 · answer #3 · answered by steiner1745 7 · 2⤊ 0⤋
To determine if a triangle is possible, when you add two sides, they have to be greater than the remaining side
(A + B) has to be more than C
(B+ C) has to be more than A
(A+C) has to be more than B
Since 21.8 is not greater than 23, your triangle is not possible
2007-01-03 14:12:47 · answer #4 · answered by Panky1414 2 · 2⤊ 0⤋
the longest side must be less than the sum of the other sides.
c=23
a+b=12+9.8=21.8
c>a+b so no triangle is possible.
2007-01-03 14:11:51 · answer #5 · answered by yupchagee 7 · 1⤊ 0⤋
unsure the way you're justifying making statements consistent with abstracting from an optical phantasm. It tricks the concepts, it would not propose something approximately existence. yet assuming you could make certainly one of those shape actual, what are you basing your statements approximately it on? and those "fractal palms" illustrations are actually not 3.5 dimensions. they are similar to fractals, iterating upon itself mutually as propagating directional substitute. Burning? Why might it reason certainly one of those chemical reaction? those do not extremely exist.
2016-12-15 15:12:21 · answer #6 · answered by ? 4 · 0⤊ 0⤋
No!
You must always be able to find one side that is shorter than the sum of the other two.
2007-01-03 14:16:34 · answer #7 · answered by Jerry P 6 · 1⤊ 1⤋
12 + 9.8 = 21.8
2007-01-03 14:29:34 · answer #8 · answered by smart-crazy 4 · 0⤊ 0⤋