Answer:
x = 14.4
Explanation:
First of all, the triangle has three sides, so let's use hero's formula to find the area.
A = √[p(p - a)(p - b)(p - c)]
Where;
a, b and c are the 3 given sides of the triangle and;
p = (a + b + c)/2
p = (18 + 30 + 24)/2
p = 72/2
p = 36
Thus;
A = √(36(36 - 18)(36 - 30)(36 - 24))
A = √46656
A = 216 Sq.units
Now, we also know from general formula of a triangle that;
A = ½bh
Where;
b is base and h is height
In the given image;
b = 30
h = x
Thus;
½ × 30 × x = 216
Rearranging, we have;
x = 216 × 2/30
x = 14.4