Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions.

See more answers at brainly.com

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions

According to my calculations, the longest side should be 5. As long as ABC is a right triangle.

Alright. Give me a minute u have this down in my Geometry math journal I will just have to find it.

|dw:1437781734957:dw|

Oh, I apologize, I forgot to add in that the answer must be exact.

|dw:1437782481651:dw|

The answer that you get will be pretty much exact! lol

Yeah, but not allowed to do that. Basically we have to avoid trig functions.

Completely spaced on that requirement when typing up the question, my bad.

@ganeshie8 Any idea?

|dw:1437789668137:dw|

|dw:1437791155114:dw|

Angle bisector theorem

It is apply if AOX is a line, that is A, O, X on the same line. This case is not that.

Good point.

|dw:1437791652962:dw|

I dont suppose there's an easy way to get |AO| then, huh?

is the perimeter 21 ?

Isn't 14 + 2d just the perimeter?

\[14+2d = \sqrt{12d(7+d)} \implies d = 3.5\]

good observation, it just happens that perimeter = area in our case :)

What 2nd calculation for the area gives 14 + 2d?

|dw:1437844853560:dw|

Ofcourse the price for avoiding trig is that we need to remember Heron's formula

Thanks once again :)

I don't have that option during exams, though. Bummer! D: Haha.