Three friends are practicing disc golf, in which a flying disk is thrown into a set of targets. Each player is 15 feet from the target. Two players are 24 feet from each other along one edge of the nearby football field. How far is the target from that edge of the football field?

This mathematical problem requires you to calculate the distance between the target and the edge of the football field or the height of this imaginary triangle (distance between the vertex and the base).

How do you determine the height of a triangle?

The first step is to find the total area of the triangle, the following formula is used:

s = a + b + c/2
s = 15 + 15 + 24/2
s = 54/2
s = 27

Now, apply this formula:

A = √s(s - a)(s - b)(s - c)
A = √27(27 - 15)(27 - 15)(27 - 24)
A = √27·12·12·3
A = √11664
a = 108 ft2

Finally, use the following formula:

H = 2 x a / b
H = 2 x 108 / 24
H = 216/ 24
H = 9 ft

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