Finding the Third Side of a Triangle: 8 & 22

[stealthinstinct]

[3.06] If two sides of a triangle are 8 and 22, what is the range of possibilities for the third side?

 

[NeoDevin]

First, this belongs in the homework help forum, someone will probably move it for you,

second: try drawing the triangle, with various angles between the two known sides, and see what sorts of values you can get for the length of the third side.

Edit:
Aha, someone moved it while I was typing.

 

[NeoDevin]

oh, and third, please try to make the title a little more informative than just "help me".

 

[stealthinstinct]

[3.06] If two sides of a triangle are 8 and 22, what is the range of possibilities for the third side?

i tried drawing it, it is multiple choise, here are my options:


a. 14<x<30

b. 8<x<22




c. 4<x<18



d. 12<x<18

 

[stealthinstinct]

I think its A, 22-8 is 14... 22+8 is 30... none of the other ones make sense as possible answeres, am i right?

 

[stealthinstinct]

ok, i just submitted, i got the problem right, it was A... 300/300 points.. YEAH!

 

[HallsofIvy]

Well, one side of a triangle is a straight line and so is the shortest distance between the two points: if two sides of the triangle are 8 and 22, then the third side must be less than 8+ 22= 30. Other than that, I can't say.

 

[symbolipoint]

[3.06] If two sides of a triangle are 8 and 22, what is the range of possibilities for the third side?

Check in your Geometry book for "Triangle Inequality Theorem". If a triangle has sides a, b, c; and if sides a and b are known, then this means a+b>c. Can you figure out the rest and apply the theorem?