A triangle is cut from a square. The area of the square Is 59 square inches. Approximate the height of the triangle to 3 decimal places.

Question

The is a diagram on worksheet  a square with a triangle inside of it

Answer 1

If the triangle is drawn from the midpoint of the top side of the square, the height is parallel to

and the same size as the sides of the square. So square root of 59 which is  7.681145

 

Specifically, for square ABCD, where A is top left, B is top right, and C is bottom right.

 M is the midpoint of AB. Then the height of triangle CMD is square root of 59 or 7.681 to three digits