i know that they cant but i dont know how to explain it in the right terms.. help
2007-12-14 06:36:03 · 10 answers · asked by Shelly Belly 1 in Science & Mathematics ➔ Mathematics
For three sides to form a triangle, the sum of any two sides must be greater then the length of the third
16 + 8 >7 check
16 + 7 > 8 check
8 + 7 < 16 NO check
Since 8 + 7 is 15, which is less then 16, the three sides cannot form a triangle
2007-12-14 06:40:26 · answer #1 · answered by Anonymous · 0⤊ 0⤋
The sum of the two shortest lines must be greater than the length of the longest line. 8cm+7cm = 15cm, which is less than 16cm. If you attached the 8cm line to one end of the 16cm line and the 7cm line to the other end - you will never be able to "close" the triangle even if the angles between 16cm line and the 8cm and 7cm lines were 0 degrees.
2007-12-14 06:41:43 · answer #2 · answered by Dee 2 · 0⤊ 0⤋
The 16 cm is too long for one thing. The other two sides, 7 and 8, add only to 15 which means they would not be able to have a third side longer than 15. Try to visualize it. The sum of any two sides of a triangle must be greater than the length of the third side.
That's it! :)
2007-12-14 06:40:54 · answer #3 · answered by Marley K 7 · 0⤊ 0⤋
sum of the lengths of any two sides of a triangle must not be either equal to or less than the third side.
hee 8cm + 7cm < 16 cm so no triangle is possible.
2007-12-14 06:41:37 · answer #4 · answered by sv 7 · 0⤊ 0⤋
The lengths of any 2 sides of a triangle must
be greater than the third. But 8+7 = 15, which
is less than 16.
2007-12-14 06:41:05 · answer #5 · answered by steiner1745 7 · 0⤊ 0⤋
this is the formulation for finding the third edge of the triangle. c²? = a²? + b²? So in fact: A= Shortest edge B= In between shortest and longest. C= Longest edge. A and B conjoin to make the aspects that make the excellent angled nook. C is the hypotenuse, it is the longest edge. for occasion: A = 7cm, B = 8cm C²?=7²? + 8²? = 40 9 + sixty 4 = 113 C = sq. root of 113 = 10. sixty 3.... If it is a you're finding, and B and C are already found out, use the formulation: a²? = c²? + b²? in addition, while you're searching for B... b²? = c²-a²? this is declared as the Pythagoras Theorem. wish I helped.
2016-11-03 06:45:31 · answer #6 · answered by hudes 4 · 0⤊ 0⤋
The rule is that 2 sides of the triangle, when added together, must be greater than the third side. 8 + 7 only gives 15, so it fails the test. Therefore, no triangle can be formed.
2007-12-14 06:44:01 · answer #7 · answered by stanschim 7 · 0⤊ 0⤋
In a triangle, the sum of any two sides has to be greater than the length of the third side. If your have one side 16 cm, the sides that are 8 cm and 7 cm won't make it back to your starting point.
2007-12-14 06:41:13 · answer #8 · answered by Hiker 4 · 0⤊ 0⤋
Another way to think about the principle that everyone else is appealing to is as follows. It's simply saying, "the shortest distance between two points is a straight line." In the alleged triangle you describe, two vertices would have a straight-line distance of 16 cm separating them, but there would be a zig-zag path along the other two sides which connects the points in total distance 15 cm. Impossible.
2007-12-14 09:50:37 · answer #9 · answered by Michael M 7 · 0⤊ 0⤋
Because 8 and 7 aren't long enough.
The two smaller sides have to add to more than the bigger side.
(This rule is called the triangle inequality: a+b>c)
Think of a triangle with sides of length 1cm, 1cm and 100cm
2007-12-14 06:44:08 · answer #10 · answered by JG 5 · 0⤊ 0⤋