Missing Side of a Right Triangle Calculator
The missing side of a right triangle calculator will help you find the third side or any third angle for a right-angled triangle.
A triangle is right-angled if one of the three angles is 90°, i.e., any two sides are perpendicular. In this calculator, we use this property to deliver a calculator that enables you to find the missing side of a right triangle. Read on to understand how to find the missing side of a right triangle.
Missing side of a right triangle
The formula that relates the sides of the triangle to its angles is the sine law. For a triangle having three sides as , , , and the angles , , and , it is given by the equation:
But we know that one of the angles is 90°. Therefore, the sum of the other two angles is 90°. Mathematically, if ,
Using the above relation, we get:
The above relationship, along with the Pythagoras theorem, forms the core of this tool and is used to calculate the missing sides or angles for any right-angled triangle.
Using the missing side of a right triangle calculator
Use the calculator to find the missing side of a right triangle having sides
- Enter the length of the first side as
- Insert the length of the second side as
- The calculator will return the third side length as
- We can also get the angles for the triangle as
53.13°using the missing side of a right triangle calculator.
Other related calculators
Following are the other similar triangle-based tools that might generate your interest:
- Right triangle side and angle calculator;
- Triangle side calculator;
- Triangle length calculator;
- Triangle degree calculator;
- Triangle side and angle calculator;
- Similar right triangles calculator;
- ABC triangle calculator;
- Is it a right triangle calculator;
- Angle of right triangle calculator; and
- Check similarity in right triangles calculator.
How do I find the missing side of a right triangle?
To find the missing side of a triangle:
- Divide the length of the first side by the second side.
- Find the inverse tangent of the quotient to get the angle between the two sides.
- Divide the length of the first side by sine of the angle to obtain the third side of the triangle.
What is the third side of a triangle having sides, 3 and 4?
The third side of the triangle is
5. First, we find the angle between the two sides, i.e.,
arctan (3/4) = 36.87°. Then we divide the first side by the sine of angle obtained:
3/sin(36.87°) = 5.