A square and a equilateral triangle are equal in area. Another square shares one of the sides of the equilateral triangle. If the area of the first square is 169 in^{2}, then what is the area of the second square? Express your answer in simplest radical form.

### Like this:

Like Loading...

The area of the second square is 338 square inches. Am I correct?

LikeLike

Not quite. Pretty close though! The answer is 676sqrt(3)/3, or about 390.29

You have to set the equation for the area of an equilateral triangle equal to 169, then solve it to get the side s. You then square s to get the answer.

LikeLike

Ok, thanks! 🤔😉

LikeLiked by 1 person

You’re welcome!

LikeLike