Find the area of the triangle below.
Be sure to include the correct unit in your answer.
triangle: 5yd, 19yd, 14yd.
To find the area of a triangle, we can use Heron's formula. Heron's formula states that the area of a triangle with side lengths a, b, and c is given by:
Area = √(s(s-a)(s-b)(s-c))
where s is the semiperimeter of the triangle, given by:
s = (a+b+c)/2
In this case, the side lengths of the triangle are given as 5yd, 19yd, and 14yd. Using Heron's formula, we can calculate the area:
s = (5 + 19 + 14)/2 = 38/2 = 19yd
Area = √(19(19-5)(19-19)(19-14))
= √(19(14)(0)(5))
= √0
= 0yd²
Therefore, the area of the triangle is 0 square yards.