Question

(medal given)
Is it possible to construct a triangle with side lengths of 6 yards, 7 yards, and 15 yards? Why or why not?

A.
No, because 6 + 7 > 15.
B.
Yes, because 6 + 7 < 15, 7 + 15 < 6, and 6 + 15 < 7.
C.
No, because 6 + 7 < 15.
D.
Yes, because 6 + 7 > 15, 7 + 15 > 6, and 6 + 15 > 7.

Answer 1

no, you can use the cosine law to verify.

Answer 2

so, of course it's c, since only a and c are the only options, and a is false. 6+7=13

Answer 3

thank you @tiffanymak1996

Answer 4

your welcome.

Answer 5

You could also use the triangle inequality theorem which states that no one side of a triangle can be greater than the sum of the other 2 sides. so since one side is supposedly 15 yards but the other two are 6 and 7 ... 6+7=13 since 15 >13 then this can not be a triangle's side's lengths.