Right Triangle Hypotenuse and Height from Angle and Base
Enter one acute angle and the base to instantly get the hypotenuse, height, area, and trig ratios.
Input
Enter an acute angle in degrees and its adjacent base of a right triangle to find the hypotenuse and height.
deg
Greater than 0 and less than 90
Side next to theta
Result
Hypotenuse
11.54700538
Height (opposite)
5.77350269
Base
10
Height
5.77350269
Hypotenuse
11.54700538
Angle theta
30 deg
Other angle
60 deg
Area
28.86751346
Perimeter
27.32050808
Trig ratios (based on theta)
sin
0.5
cos
0.8660254
tan
0.57735027
csc
2
sec
1.15470054
cot
1.73205081
Lengths use the same unit as the base you entered. Angles are shown in degrees.
How it works
- With base (adjacent side) b and the entered acute angle theta, the height a is a = b times tan(theta).
- The hypotenuse c is c = b divided by cos(theta), derived from cos = adjacent divided by hypotenuse.
- The other acute angle is 90 degrees minus theta, the area is base times height divided by 2, and the perimeter is base plus height plus hypotenuse.
- Enter an angle theta greater than 0 and less than 90 degrees, and a positive base.
- sin, cos, and tan, along with their reciprocals csc, sec, and cot, are shown together.
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Right Triangle Hypotenuse and Height from Angle and Base