Right Triangle Calculator from Base and Height
Enter the base and height of a right triangle to find the hypotenuse, angle, area, and trig ratios.
Last updated:
Input
Enter the base and height around the right angle to compute the hypotenuse, angle, area, and trig ratios.
length
length
Result
Hypotenuse c
5
Angle A
36.86989765deg
Area
6
Other angle B
53.13010235 deg
Perimeter
12
Trig ratios of angle A
sin A
0.6
cos A
0.8
tan A
0.75
csc A
1.66666667
sec A
1.25
cot A
1.33333333
Trig ratios use angle A: sin is height over hypotenuse, cos is base over hypotenuse, and tan is height over base.
How it works
- With the two legs of the right triangle taken as base b and height h, the hypotenuse is c = sqrt(b squared + h squared) from the Pythagorean theorem.
- The acute angle A between the base and the hypotenuse is A = arctan(h / b), and the other acute angle B is B = 90 minus A.
- Area is computed as S = b times h divided by 2, and the perimeter is b + h + c.
- Trig ratios are based on angle A: sin = h/c, cos = b/c, tan = h/b, plus their reciprocals csc, sec, and cot.
- Both the base and the height must be greater than zero.
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