Area of triangle 15 yd 7yd 21yd

Answer 1

To find the area of a triangle, we can use Heron's formula. The formula is:

A = √(s(s-a)(s-b)(s-c))

where A is the area of the triangle, a, b, and c are the lengths of the sides of the triangle, and s is the semiperimeter of the triangle (s = (a + b + c) / 2).

In this case, we have a triangle with sides of lengths 15 yd, 7 yd, and 21 yd. The semiperimeter can be calculated as:

s = (15 + 7 + 21) / 2 = 43 / 2 = 21.5 yd

Now, we can use Heron's formula to find the area:

A = √(21.5(21.5-15)(21.5-7)(21.5-21))
= √(21.5(6.5)(14.5)(0.5))
= √(21.5 * 6.5 * 14.5 * 0.5)
= √(2877.375)
≈ 53.653 yd^2

Therefore, the area of the triangle is approximately 53.653 square yards.