Sunday

March 29, 2015

March 29, 2015

Posted by **Michele** on Wednesday, February 23, 2011 at 5:50pm.

- geometry -
**Helper**, Wednesday, February 23, 2011 at 7:15pmArea of square = side s^2

100 = s^2

s = 10

The diagonals of a square bisect each other and meet at 90 degrees.

The diagonals of a square bisect its angles.

The diagonals of a square are perpendicular.

The diagonals of a square are equal.

This means that the two diagonals create 4 triangles of equal area.

To find the length of the equal diagonals d,

d = s * (sqrt(2))

s = 10

d = 10(sqrt(2))

d/2 = 10(sqrt(2))/2 = 5(sqrt(2))

Since, the diagonals of a square bisect each other and meet at 90 degrees, the four triangles are each 45-45-90 degrees.

side = hypotenuse = 10

leg = 1/2 d = 5(sqrt(2))

leg = 1/2 d = 5(sqrt(2))

One leg = height

One leg = base

Area = 1/2 bh

A = 1/2 5(sqrt(2)) * 5(sqrt(2))

A = 1/2 * 50

A = 25 cm^2

Each triangle's area is,

25 cm^2

Draw a picture so you can follow the above.

**Answer this Question**

**Related Questions**

Analytic Geometry - A square is a quadrilateral with four equal sides. The area ...

Geometry - Rectangle ABCD has diagonals AC and BD. E is the point of ...

geometry - I need to find the area of the shaded portion of a circle with a ...

math - M and N are the midpoints of the sides of a square. What is the ratio of ...

algebra/math - I have this figure of a square QRST with an equilateral triangle ...

math - determine the area of triangle abc when side ab= square root of x, side ...

geometry - 14. Question says that there is a triangle with a base of x units and...

geometry - the ratio of the perimeter of two similar squares is 5 to 4. If the ...

geometry - The area of a square is 81 square centimeters. What is the length of ...

Math problem solving investigation: guess and chec - The area of each square is ...