Use the image to answer the question. What is the area of the quadrilateral? (1 point) cm^2
THE NUMBERS (6,6,10)
To find the area of a quadrilateral, we can split the shape into two triangles and find the area of each triangle separately.
First, we calculate the area of the triangle with sides 6, 6, and 10 using Heron's formula:
s = (6 + 6 + 10)/2 = 11
Area = √(11(11-6)(11-6)(11-10)) = √(11*5*5*1) = √(275) = 5√11 cm^2
Since there are two congruent triangles, the total area of the quadrilateral is 2 * 5√11 = 10√11 cm^2.