If so... why!?
2006-09-14 11:09:32 · 10 answers · asked by Roberta A 1 in Science & Mathematics ➔ Mathematics
Yes. Without math formulas you can do it with a ruler, pencil and compass. Draw a 3cm line, label it A & B. Now with your compass draw an 8cm circle from point A and then with your ruler measure 6cm from point B until you touch the circle drawn.
It works.
2006-09-14 11:16:32 · answer #1 · answered by esgrimistanaval73 2 · 0⤊ 0⤋
Actual it's the opposite. The two shorter sides (3cm and 6cm) must add up to *more* than the longest side (8cm).
Since 3 + 6 > 8, then this is a valid triangle.
Notice how it wouldn't work if the values were 3, 6 and 9. Then you'd have a straight line. And if you had 3, 6 and 10, then you couldn't connect the 3 and 6 sides to each other...
Anyway, the short answer is that it *is* possible for a triangle to have sides 3cm, 6cm and 8cm. An example is shown in the first link below:
You can use the second link to draw some triangles. Notice how it will draw a 3-6-8 triangle, but can't draw a 3-6-9 or 3-6-10 triangle.
2006-09-14 18:14:07 · answer #2 · answered by Puzzling 7 · 3⤊ 0⤋
If you add the length of any two sides, then that number should be greater than the length of the third side.
3+6 = 9 >8
3+8 = 11>6
6+8 = 14>3
2006-09-14 18:15:00 · answer #3 · answered by MsMath 7 · 0⤊ 0⤋
Yes, it is possible...
The way you can check is adding the two smallest sides together and making sure they are greater than the longest side. Otherwise, you wouldn't be able to close the triangle.
2006-09-14 18:20:53 · answer #4 · answered by S W 1 · 0⤊ 0⤋
Use the pythagreon theorem. A2 + B2= C2.
So it'd be 3squared + 6 squared= 8squared
3squared is 9.
6squared is 36
8squared is 64
9+36=45
45=64 This statement is false. So no, a triangles sides cannot be 3cm 6cm and 8cm.
2006-09-14 18:13:56 · answer #5 · answered by Poopdragon 3 · 0⤊ 5⤋
I'm just amazed that everyone can be so sure of their answer, even going to the lengths of backing it up with formulas and yet some say yes and some say no!
2006-09-14 18:18:28 · answer #6 · answered by Behhar B 4 · 0⤊ 0⤋
Yes, because the triangle inequality simply states that the sum of any two sides has to be less then the third.
2006-09-14 18:15:23 · answer #7 · answered by bruinfan 7 · 0⤊ 1⤋
Just to clarify the confusion one little bit, the pythagorean formula only applies to right triangles, so that conclusion is invalid.
2006-09-14 19:09:49 · answer #8 · answered by Ken H 4 · 0⤊ 0⤋
as long as the 2 shorter sides add up to less than the longer side.
so the answer is yes.
2006-09-14 18:11:51 · answer #9 · answered by jake cigar™ is retired 7 · 0⤊ 2⤋
no the two shorter sides are more than the third side
2006-09-14 18:13:39 · answer #10 · answered by illeteratii 2 · 0⤊ 2⤋