Question

-Medal + Fan + Testimonial-
A given triangle has sides 2x, x + 5 and 12 cm. Find the values of x if the side with length 2x is the longest side.
PLEASE DO NOT POST THE ANSWER!!! Just guide me to it :)

Answer 1

We have that:
$$2x > x + 5$$
Also that:
$$2x > 12$$
Okay. What can we do from here?

Answer 2

I got that as well. You'd solve for \(x\) so \(x > 5, x > 6\)?

Answer 3

Is that right?

Answer 4

Correct.

Answer 5

Albeit it is a bit redundant to say that \(x > 5\) when you have that \(x > 6\).

Answer 6

Apparently that isn't the answer... i checked the marking key.

Answer 7

Do you think you can use the Pythagorean theorem here?

Answer 8

@bloopman?

Answer 9

\(x\) is also \(x<17\)?

Answer 10

So its 1/2 correct.

Answer 11

How is it \(x < 17\)?

Answer 12

I have no idea... \(17>x>6\)

Answer 13

a+b>c
a+c>b
b+c>a
put teem in 3 inequality

Answer 14

So like this
\(x+5+12 >2x\)
\(2x+12>x+5\)
\(x+5+2x>12\)
@amoodarya?

Answer 15

yes

Answer 16

by solving 3 of them you have the bound for x