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This is a right triangle?

I think so.

Ok, then you can use the Pythagorean theorem to find the side b.

I would do that, but it is a degree instead of a number.

I am saying to use the `. a² + b² = c² . `

24²+b²=26²

Okay. Thank you so much!

we aren'tdone yet, are we?

Did you find the side b?

(It will be a precise, natural number, answer)

I'm working on it.

Ok, sure, take your time:)

I got 10.

Oh, very good. that is right!

|dw:1441584583951:dw|

So you can already tell which choice is closer to the area.

24 right?

|dw:1441585425017:dw|

I wonder that they do not have the answer choice for that....

So, the test makers didn't put the correct choice on it?

No, I think it is rather our mistake that we assumed that your triangle is a right triangle.

hmmm

Okay, so how would we solve this now?

I think we need to apply the law of cosines.
\(b^2=a^2+c^2-2ac{\rm Cos}(B)\)

have you covered the law of cosines yet?

Not yet, but this is supposed to be a Algebra 1 study.

https://www.mathsisfun.com/algebra/trig-cosine-law.html

hmmm so.. haemm
I think is safe to assume then, that is a right triangle

This is a good link. mathisfun is always easy to read:)

yes jdoe, I assumed that the first I encountered it, but there is no option of 120.

Thank you for the link, I will check it out.

|dw:1441585266641:dw|

I got 171.96 as the area, but that is not one of the answers either.

I am trying to find every thing in the triangle, perhaps, before doing area.

\(\sin(33)/14.33{~~}={~~}\sin(C)/26\)

|dw:1441585636236:dw|

Okay, so is this Algebra, it seems more like Geometry to me?

Thank you guys so much. Have a great day. :)