Tuesday

March 31, 2015

March 31, 2015

Posted by **Punkie** on Tuesday, December 15, 2009 at 2:01pm.

A = the square root of 3 times s squared / 4

How would I solve this so that I can have the area of the square?

- info needed -
**MathMate**, Tuesday, December 15, 2009 at 2:56pmUsing one single cut, I can cut a square into two isosceles triangles, but not two equilateral triangles.

Could you please check your question?

- Math -
**Punkie**, Tuesday, December 15, 2009 at 3:01pmOh, I guess I assumed that the triangle was and equilateral triangle because the only other information it gave me was that it had an angle of 45 degrees in the corner that was split.

- Math -
**MathMate**, Tuesday, December 15, 2009 at 3:10pmSo that makes two isosceles right triangles. The hypotenuse (the longest side) is the cut, right? Draw a little diagram to confirm that.

The area of an isosceles right triangle (i.e. 45°,90°45°) is equal to the hypotenuse²/4. The hypotenuse is the cut, or the side that joins the two 45° angles.

Take it from here, and post your answer for verification if you wish.

- Math -
**Punkie**, Tuesday, December 15, 2009 at 3:36pmA = 6 square root 2 to the power of 2 / 4

A = 12/4

A = 3

Then to find the area of the square I would multiply 3 time 2 to equal 6

- Math -
**MathMate**, Tuesday, December 15, 2009 at 4:21pmA =

**(**6 square root 2**)**to the power of 2 / 4

=6²*(√2)²/4

=?

- Math -
**Punkie**, Tuesday, December 15, 2009 at 5:03pmOh ok I didn't square both the 6 and the square root 2...that makes sense. Thank you.

- Math :) -
**MathMate**, Tuesday, December 15, 2009 at 5:12pmYou're welcome!

**Answer this Question**

**Related Questions**

Calculus - Pyramid - A pyramid with a square base and four faces, each in the ...

math - A tangram is a geometric puzzle made from seven pieces that form a square...

Geometry - How do I figure out the area and perimeter of a square if all I know ...

Math - A square has sides of 10 units. There is a diagonal that divides it into ...

math - a square has a area of 60sq cm.what%is the area of one of the triangles ...

physics - Given that the side of the square has a length b-a, find the area of ...

maths - We can cut a square diagonally in half to get two triangles. Suppose the...

Math ~CHECK MY ANSWER~ - 1) Which of these is a rational number? a. Pi b. Square...

geometry - A regular hexagon is composed of 12 congruent 30-60-90 triangles. If ...

Algebra - Rationalize each expression by building perfect nth root factors for ...