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Base Area of Triangular Prism Calculator

Formula

The formula to calculate the Base Area of a Triangular Prism is:

$A_{\text{Base}} = \frac{1}{4} \sqrt{(S_a + S_b + S_c)(S_a + S_b - S_c)(S_b + S_c - S_a)(S_c + S_a - S_b)}$

Definition

The Base Area of a Triangular Prism is the total amount of two-dimensional space occupied by the base face of the prism. The Side A, Side B, and Side C of the Base are the lengths of the three edges of the triangular base.

Example Calculation

Let's assume the following values:

Side A = 10 Meters
Side B = 14 Meters
Side C = 20 Meters

Using the formula:

$A_{\text{Base}} = \frac{1}{4} \sqrt{(10 + 14 + 20)(10 + 14 - 20)(14 + 20 - 10)(20 + 10 - 14)} \approx 64.9923072370877$

The Base Area is approximately 64.9923072370877 Square Meters.

Conversion Chart

Side A (Meters)	Side B (Meters)	Side C (Meters)	Base Area (Square Meters)
9	14	20	54.985793619806927
9.5	14	20	60.112882094855507
10	14	20	64.992307237087687
10.5	14	20	69.663000177640924
11	14	20	74.151449749819463