2006-10-26 15:41:04 · 8 answers · asked by Gracie S 1 in Science & Mathematics ➔ Mathematics
No. In order to be a triangle all three combinations of two sides put together must be greater than the last common side and in this case 5+7 is not greater than 12
2006-10-26 15:50:35 · answer #1 · answered by Anonymous · 1⤊ 0⤋
No. The sum of the measures of any two sides of any triangle is greater than the measure of the third side.
In English, that means that in a triangle, you can pick any two sides' measures, and when you add them together, the sum will be greater than the measure of the third side.
For instance:
1. Problem: Can a triangle have the
following measures?
3, 10, and 8
9, 17, and 8
Solution: The first set of measures
can form a triangle because
3 + 10 is greater than 8
8 + 10 is greater than 3
and
3 + 8 is greater than 10.
The second set of measures
cannot form a triangle
because
9 + 8 is equal to 17.
For your question:
5+7=12
12 is equal to the length of the other side. Hence, a triangle cannot have the side lengths, 5, 7, and 12.
Hope this helps.
2006-10-26 22:47:51 · answer #2 · answered by Anonymous · 0⤊ 0⤋
No. the sum of the 2 smaller sides must be greater than the 3rd. Here the sum is equal to the 3rd.
Draw a 12 cm line. using a compass, draw a 5 cm circle around 1 end & a 7 cm circle around the other. You will see that the only point of intersection of these circles is on the original line. That can't be a triangle.
2006-10-27 00:21:22 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋
You already asked this, no. 5 + 7 is equal to 12. In order to be a triangle, it must be greater than the third side.
2006-10-26 22:42:06 · answer #4 · answered by Anonymous · 1⤊ 0⤋
Hi. No. 5+7=12, so the sides would be coincident.
2006-10-26 22:42:34 · answer #5 · answered by Cirric 7 · 1⤊ 0⤋
no the 2 smallest sides have to be over the largest side it cant be equal
2006-10-26 22:42:34 · answer #6 · answered by John D 1 · 0⤊ 0⤋
are you asking about a right angled triangle? because if you are then answer is no. If not right angled then the answer is yes. Refer to the pythagoras theorum.
2006-10-26 22:46:05 · answer #7 · answered by hharry_m_uk 4 · 0⤊ 1⤋
GET A RULER AND DRAW ONE IM SURE IT IS POSSIBLE
2006-10-26 22:49:04 · answer #8 · answered by FUNNY SHIT RIGHT THERE 1 · 0⤊ 1⤋