# How to calculate the height of a triangle given its area and base. S = 171cm square, A = 16cm?

September 14, 2021 | education

| Area of a triangle = half the product of the height by the side.

Since: S is the area, a is the side, h is the height, the formula will look like this:

S = 1/2 * a * h;

S = 1/2 * a * h;

171 = 1/2 * 16 * h;

Let’s simplify the expression, for this we transfer 1/2 to another part of the equation. To do this, flip 1/2, we get 2/1. So the equation will be as follows:

171 * 2 = 16 * h;

342 = 16 * h;

Now we can calculate h.

h = 342/16;

Answer: 22 cm.

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