We use technical and security cookies and, only if you accept, analytics with no cross-site tracking. More in the Cookie policy and Privacy policy.
We use first-party cookies and technical storage to make the site work, Google reCAPTCHA security technology and, only if you accept, Vercel analytics (no cookies, no cross-site tracking). You can accept or reject analytics; both options are equivalent and you can change your choice at any time. More info: Cookie policy, Privacy policy, Legal notice and Terms and conditions.
Find triangle sides, hypotenuse, angles and area from two measurements. Pythagoras and trigonometry with a labelled sketch for CNC drawings.
Triangle
1What data does the drawing give you?
2Enter the measurements
3Result
Click a dimension to copy it · Entered values shown in grey
A ramp, a point-to-point distance or an inclined face can form a right triangle on a drawing. Choose the two measurements you know and locate angle A on the sketch before entering them. The calculator finds the remaining sides and angles using your drawing's units.
Known measurements
Leg a = 30 mm · leg b = 40 mm
Result
Hypotenuse = 50 mm · A = 36.870° · B = 53.130° · area = 600 mm²
This 3-4-5 example retains its proportions when all sides are multiplied by the same factor.
Start with two legs, a hypotenuse and an acute angle, a leg and an angle, or a leg and the hypotenuse. Knowing only an acute angle and the right angle does not set the triangle's size. A supplied hypotenuse must be longer than the supplied leg.
Leg a is opposite A; leg b meets it. Hypotenuse c is opposite the 90° corner. Thus sin A = a/c, cos A = b/c and tan A = a/b. The two acute angles add up to 90°. Keep this reference when matching your drawing's labels.
Check that the faces really meet at 90°. Use the oblique triangle calculator for other geometry. Displayed decimal places express numerical precision, not the permitted manufacturing tolerance.
Use the Pythagorean theorem: c = √(a² + b²). Enter both legs in the same unit; the hypotenuse uses that unit too.
No. Choose the oblique triangle calculator with three sides, two sides and their included angle, or one side and two angles.
A lies between the hypotenuse and leg b on the sketch. An angle measured from the other face may be B, equal to 90° − A.
Calculates X/Y coordinates of a bolt hole circle (PCD/BCD), preview, CSV and G-code for Fanuc G81/G83, Siemens CYCLE81/83 or Heidenhain CYCL 200.
Calculate cutting speed, RPM, feeds and pass time for milling, turning and drilling. Adjust values with linked scales and look up starting values by material.
Calculates indicative ISO 286 tolerances for shaft and hole, H7/g6, H7/h6, H7/k6 and H7/p6 fits with clearance, transition and interference graph.
