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a)6,8,10
b)8,10,12
c)7,15,18
d)9,11,14
why?

2007-08-02 14:04:49 · 7 answers · asked by Anonymous in Science & Mathematics Mathematics

7 answers

The answer is a) 6,8,10. This is because 6² + 8² = 10². These are also called Pythagorean triples, because they are the sides of a right triangle.
The other sets of numbers do not work out this way. Although they could be the sides of a triangle, the triangle will not have a right angle.

2007-08-02 14:11:55 · answer #1 · answered by Don E Knows 6 · 0 0

I'll assume you mean Pythagorean triple here.
Such a triple must satisfy a²+b²=c².
In that case the only triple is a) 6,8,10
because 6²+8²= 36+64 = 100 = 10².
Let's look at the other 3 cases:
8²+10² = 64+ 100 = 164 and 12² = 144.
7²+15² = 49+225 = 274 and 18² = 324.
finally,
9²+11² = 81+121 = 202 and 14² = 196,
so none of the other 3 answers satisfy
the Pythagorean relationship.

2007-08-02 14:14:41 · answer #2 · answered by steiner1745 7 · 1 1

i've got not heard of a "suitable triple." My maximum suitable wager is that somebody used that word in bearing on a triangle which would be made by using using those section lengths, and this is a suitable triple if it leads to a staggering triangle. If it rather is the staggering definition, then confident, those section lengths type a staggering triangle. (to teach, use the pythagorean theorem. 6x6 + 8x8 = 10x10 in view that 36+sixty 4=a hundred). actually, taking a triangle with factors of three, 4, and 5, and multiplying them by using the comparable integer will bring about a staggering triangle.

2016-12-11 08:38:27 · answer #3 · answered by Anonymous · 0 0

a) because 6^2 + 8^2 = 10^2
that is, if we're talking about Pythagorean triples

2007-08-02 14:13:35 · answer #4 · answered by Anonymous · 1 0

6,8, and 10
I assume you are talking about Pythagorean triples

Pythagorean Theorem
a^2 + b^2 = c^2
6^2 + 8^2
=36 + 64
= 100
=10^2
So 6,8, and 10 are the triples.

This theorem is true for any three sides of a right triangle.

2007-08-02 14:12:42 · answer #5 · answered by Jeƒƒ Lebowski 6 · 1 0

a) 6 8 and 10 I guess cuz it sounds better.

2007-08-02 14:13:50 · answer #6 · answered by cassandra d 2 · 0 1

A. They both add up by 2 and the others have no pattern.

2007-08-02 14:11:18 · answer #7 · answered by ? 4 · 0 2

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