The value of x is 3.711 yd
What is Heron's Formula?
area = √(s * (s - a) * (s - b) * (s - c))
where
s is the semi perimeter - half of triangle perimeter:
s = (a + b + c) / 2
Using Heron's Formula
area = √(s * (s - a) * (s - b) * (s - c))
area = √(14* (15- 6) * (15 - 14) * (15 - 10))
area = √(14* 9 * 1 * 5))
area = √ 630
area = 25.981 yd²
Now,
area of triangle= 1/2 * b * h
25.981 = 1/2 * 14 *h
51.962 = 14h
h= 3.711 yd
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