Question

Which best describes the triangle, if any, that can be formed with sides measuring 60 centimeters, 100 centimeters, and 40 centimeters?

Answer 1

A.two unique scalene triangles
B.infinetly many similar scalene triangles
C.no triangle
D.one unique scalene triangle

Answer 2

@kittybasil

Answer 3

Hm, I'm not really good with trigonometry.
But we know that a scalene triangle is a triangle where all 3 sides have different lengths. I'm inclining towards D, but I'm not completely sure. Take someones else opinion over mine if you get it. (:

Answer 4

Thats okay, thank you. I'll take all the help I can get.

Answer 5

Let's break it down a bit

Answer 6

okay

Answer 7

C is definitely out of the question

Answer 8

Hm? I got tagged in this.

Actually, C isn't necessarily out of the question

Answer 9

@kittybasil
Hm, how so?

Answer 10

Well, what is your reasoning behind the idea that it must make a triangle? 🤔
Technically, if it does not meet the Triangle Inequality Theorem then it cannot form a triangular shape.

Answer 11

Triangle Inequality theorem explains that only certain lengths that fit into the formula can become sides of a triangle.

Answer 12

Right. So the sum of any two sides must be greater than the measure of the 3rd side (off of google)

Answer 13

So using this theorem would it be A then

Answer 14

60 + 40 = 100
Which means it's not greater than the 3rd side. Shouldn't that mean it can't form a triangle?

Answer 15

but 60+100=160 and 40+100=140??

Answer 16

so two triangles?

Answer 17

Basically, you replace the variables in the formula with any of the number values given to you. If at least one combination works, then that combination will give you a triangle.

Answer 18

Your values are: 60 cm, 100 cm, and 40 cm.
Is there any way you can make the equation work with these numbers?

Answer 19

6 by using the theorem?

Answer 20

because when I used the pythagorean theorem it doesn't form a triangle.

Answer 21

Pythagorean theorem is only for right angle triangles. Anything else requires the Triangle Inequality theorem

Answer 22

oh so then it would be a because when I did it 60+100=160 and 40+100=140

Answer 23

Let's make the variables equal to certain values to avoid confusion:
A = 40
B = 100
C = 60

Based on this, if ANY of these following expressions are true using the values above, then that expression makes a triangle.
A + B > C
B + C > A
A + C > B

Answer 24

the last one is equal to b so does that mean the answer is c?

Answer 25

Knew it all along 😌 @kittybasil

Answer 26

but I thought it said if one wasn't greater than one side there is no triangle

Answer 27

You are correct

Answer 28

who?

Answer 29

you are. 😂

Answer 30

oh, okay, thank you guys for your help!

Answer 31

No problem, I think i confused you guys more than helped, but I learned something new. (:

Answer 32

Making an effort is the first step in learning. You guys all did something, but I can't medal everyone :p