find area of triangle
18yd, 6yd, and 11 yd
To find the area of a triangle, you can use the formula for the area of a triangle which is 1/2 times the base times the height.
Given that the lengths of the sides of the triangle are 18yd, 6yd, and 11yd, we need to find the base and the height.
To find the base, we can choose any of the sides. Let's choose the side with length 18yd as the base.
The height of the triangle can be found by drawing a perpendicular line from the opposite vertex to the base. This will split the triangle into two right triangles.
We can then use the Pythagorean theorem to find the height. The side opposite the right angle will be the height, and the other two sides will be used to find its length.
Using the Pythagorean theorem: c^2 = a^2 + b^2, where c is the hypotenuse and a and b are the other two sides:
height^2 = 18^2 - 6^2
height^2 = 324 - 36
height^2 = 288
height = √288
height ≈ 16.97yd (rounded to two decimal places)
Now that we have the base and the height, we can calculate the area:
Area = 1/2 * base * height
Area = 1/2 * 18yd * 16.97yd
Area ≈ 152.73 square yards (rounded to two decimal places)
Therefore, the area of the triangle is approximately 152.73 square yards.