Question

A rectangle is shown. A line is drawn from a corner to the opposite corner to form 2 triangles. The area of a rectangle in 24 square units. A diagonal drawn from one corner to another divides the rectangle into two right triangles. What is the area of the shaded triangle? 2 times 24 square units 1 times 24 square units One-half times 24 square units One-fourth times 24 square units.

Answer 1

24/2 is 12. Your answer is 12

Answer 2

Area of shaded triangle = one - half times 24 square units.

Explanation:

The line that is drawn from one corner to the opposite corner is called the diagonal of the rectangle.

The diagonal splits the rectangle into 2 right angled triangle of same measurements.

Therefore,

`Area \ of\ rectangle\ =\ Area \ of \ triangle + Area \ of \ triangle \\\\Area \ of\ rectangle\ =\ 2 *\ Area \ of \ triangle\\\\24 = 2 * Area \ of \ triangle\\\\Area \ of \ triangle = (1)/(2) * 24`