Right Triangle Base and Height from Angle and Hypotenuse
Enter an acute angle and the hypotenuse to get the base, height, area, and trig ratios of a right triangle.
Input
Enter an acute angle and the hypotenuse to get the base, height, area, and trigonometric ratios at once.
Angle unit
degrees
Length
Result
Base
8.66025404
Height
5
Area
21.65063509
Hypotenuse
10
Perimeter
23.66025404
Acute angle
30 deg
Other acute angle
60 deg
Trigonometric ratios for the acute angle
sin
0.5
cos
0.8660254
tan
0.57735027
csc
2
sec
1.15470054
cot
1.73205081
Lengths use the same unit as your input, and the area is in that unit squared.
How it works
- The base equals the hypotenuse times the cosine of the angle, and the height equals the hypotenuse times the sine of the angle.
- The area equals the base times the height divided by two.
- Enter the acute angle in the range greater than 0 and less than 90 degrees.
- You can switch the angle unit between degrees and radians.
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Right Triangle Base and Height from Angle and Hypotenuse