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Calculate triangle from base and angle

Calculation of the area of a triangle, give must be the length of the base and 2 angles

Calculator index

Calculate the area of a scalene triangle


This function calculates the area, perimeter, and height of an equilateral triangle. Enter the length of the base and the adjacent angles θ1 and θ2, then click the 'Calculate' button.


Triangle Calculator

 Select the angle measure
 
 Input
Base length a
Angle θ1
Angle θ2
Decimal places
 Results
Area
Height
Perimeter

Formulas for calculating the properties of a triangle

Area
\(\displaystyle A = \frac{a^2}{2} ·\frac{sin(θ_1) · sin(θ_2)}{sin(θ_1+θ_2)} \)


Height
\(\displaystyle h = a · \frac{tan(θ_1) · tan(θ_2)}{tan(θ_1) + tan(θ_2)} \)


Perimeter
\(\displaystyle P = a ·\left(1+ \frac{sin(θ_2)}{sin(θ_1 + θ_2)} + \frac{sin(θ_1)}{sin(θ_1 + θ_2)} \right)\)


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