Question

Tell whether a triangle can have sides with the given lengths. Explain.

Answer 1

1. 6,10, 15

Answer 2

scalen

Answer 3

a + b > c
a + c > b
b + c > a

all those 3 conditions must hold

Answer 4

no, it's impossible because 1.6 and 10 would never touch because the sum of both is less than 15

Answer 5

it's actually 1) 6,10, 15

Answer 6

This I believe is exercise number 1 lol

Answer 7

lol, I even got the 10.2 out of nowhere

Answer 8

You're right Sourwing. I'm sorry SalvadorV. I wrote that wrong :p

Answer 9

Come to think of it, she's stuck on the first one already O.o

Answer 10

then it can be formed, see the little drawing I did, when the circles "intersect, then the triangle is formed

Answer 11

it could be formed wherever the circles intersect

Answer 12

(the circles represent the possible positions of the sides of the triangle)

Answer 13

Ohhh ok! Thanks SalvadorV :)

Answer 14

So... 2) 14, 18, 32

Answer 15

is it a numerical sequence?

Answer 16

No, it's the same type as the last problem

Answer 17

ahhh I see

Answer 18

look, we have 2 sides whose sum is equal to the total of the other side... can you picture the circles I drew?

Answer 19

we would only have 1 triangle, and it would be formed exactly over the line we have

Answer 20

a+b > c
a+c > b
b+c > a

Is that true?

Answer 21

yep, as sides a and b together cant be longer than side c, then there is no triangle formed, it would be a line

Answer 22

So that formula will work for the rest of the problems on my homework that are set up like that?

Answer 23

exactly, if any of the sides is equal or bigger than the sum of the other 2, then the triangle is not formed

Answer 24

Awesome! Thanks again :)

Answer 25

you're welcome :)