Question

What is the largest integer value of IK for which parallelogram IJKL will have an acute angle at J?

Answer 1

Are you posting an image for us?

Answer 2

yes i am but are you going to help me with my question

Answer 3

I will do my best!

Answer 4

A.
12
B.
13
C.
14
D.
15

here are the choices

Answer 5

Is there an image to go with it? Like what IJKL looks like? If not, give me a sec to absorb.

Answer 6

https://media.education2020.com/evresources/2004-04-01-03-00_files/i0300000.jpg

Answer 7

I thought there was a pic somewhere! Let me look...it will only take a sec.

Answer 8

click the link i sent

Answer 9

I did and here's what I got and how and why, ok? If this was a right triangle, meaning that angle J was a right angle, you would use Pythagorean's theorem to find the length of the hypotenuse. But they want the largest value of IK if J was acute, meaning less than 90. So what I did was to find the length of the hypotenuse for J being a right angle, and got that IK would be 13 if J was 90. But if J is just under 90, then IK would be at it's largest value at just under 13, at like 12.999. If IK is 13, J is 90. We want J to be just under 90, so that means that the side across from it has to be just under the value it would be (13) if it was a hypotenuse. Do you understand at all?

Answer 10

yes i get it

Answer 11

i didn't before though

Answer 12

If you do now, then that's good!