1.The lengths of the sides of a triangle are 3t, 5t-12, and t+12. Does any value of "t" make the traingle equilateral?
2006-09-30 11:28:07 · 5 answers · asked by Muffins 1 in Education & Reference ➔ Homework Help
Yes. When t = 6
then
3t = 18 and
5t-12 = 18 and
t+12 = 18
2006-09-30 11:36:36 · answer #1 · answered by urbancoyote 7 · 0⤊ 0⤋
Just in case you were wondering how the people who answered 6 came up with the answer.
First you take two of the sides and put an equal sign between them.
3t=5t-12
Solve for t
2t=12, so t=6
Then you substitute the answer in this case 6 in all 3 sides
3*6=18, 5*6-12=18, 6+12=18
If all 3 come up with the same number you have a winner, if not nothing will make it equilateral
2006-09-30 19:03:54 · answer #2 · answered by siamcatp 4 · 0⤊ 0⤋
No, if you use 1 as t, the sides are 3, 13 and -7 so they are not equilateral.
2006-09-30 18:31:51 · answer #3 · answered by Lola76 5 · 0⤊ 0⤋
no because if u plug in any number for t it won't work
t=3 let's say
3t=9
5t-12=3
t+12=15
it is a scalene triangle
2006-09-30 18:32:42 · answer #4 · answered by Shamgod 3 · 0⤊ 0⤋
sure, t is 6
2006-09-30 18:57:59 · answer #5 · answered by Stevie471 1 · 0⤊ 0⤋