a 3,5,7
b 4,4,8
c 9,3,14
d 1,2,3
2007-11-16 07:55:16 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
For any triangle, the sum of two of the sides must be more than the third side. The only set for which this is true is:
a. 3, 5, 7 because 3+5 > 7
2007-11-16 08:02:35 · answer #1 · answered by chcandles 4 · 1⤊ 1⤋
Each side of a triangle has to be shorter than the sum of the other two sides.
not b, because 4 + 4 ≯ 8
not c, because 9 + 3 ≯ 14
not d, because 1 + 2 ≯ 3
a is the only one that can be a triangle.
2007-11-16 08:09:47 · answer #2 · answered by DWRead 7 · 0⤊ 0⤋
a
How to tell if a set of numbers can represent the lengths of a
triangle: The length of each side is less than the sum of the lengths (When you add any two legs together, the sum is always greater than the third leg.) of the other two sides and greater than the difference between these lengths. (When you subtract any two legs, the difference is less than the third side)
Felix S: You're thinking about a right triangle. The Pythagorean Theorem only works for right triangles. The question is asking about ANY triangle.
Sorry, meant a.
2007-11-16 08:04:23 · answer #3 · answered by Kate 3 · 0⤊ 1⤋
The answer is a. The sum of any two of the sides of a triangle must always be greater than the third side, and a is the only answer that fits.
2007-11-16 08:02:22 · answer #4 · answered by Anonymous · 1⤊ 2⤋
How about none of them?
a)9+25 doesn't equal 49
b)16+16 is not 64
c)81+9 is not 196
d)1+4 is not 9
2007-11-16 08:00:19 · answer #5 · answered by Felix S 2 · 1⤊ 3⤋
b as long as its just a regular triangle.
2007-11-16 08:00:40 · answer #6 · answered by Anonymous · 0⤊ 2⤋
only a.
2007-11-16 08:02:41 · answer #7 · answered by sv 7 · 2⤊ 0⤋
a 3,5,7
2007-11-16 08:03:08 · answer #8 · answered by ironduke8159 7 · 2⤊ 0⤋