Is it a Right Triangle Calculator
This is it a right triangle calculator will help you determine whether or not a triangle qualifies to be a right triangle. This tool will be your companion when you just want to make sure you have a right triangle. In this right triangle calculator, you will learn:
- What a right triangle is; and
- How to figure out if a triangle is a right triangle using our calculator.
You're on the right track, so keep on reading.
What is a right triangle and how to tell if it is a right triangle?
A right triangle is a triangle with one of its interior angles equal to 90°, hence the name. Since a triangle has a total of 180° for its interior angles, if one of its angles is 90°, that means its two remaining interior angles have a total of 90°, too. So to check if a triangle is right, its two remaining angles need to be complementary and acute (since every complementary angle is acute). In equation form, we express that as:
- and - Remaining angles of a right triangle that turn out to be complementary.
Aside from the relationship of the interior angles of a right triangle, its sides should also follow the Pythagorean theorem. That means that a right triangle has to have a hypotenuse, which we can denote as , which has a length equal to:
- and - Sides of the triangle forming a right angle.
Lastly, we can observe the following trigonometric functions when dealing with right triangles:
For angle :
For angle :
- - Length of side opposite angle ;
- - Length of side opposite angle ; and
- - Length of the hypotenuse, or the side opposite the 90° angle.
If a triangle fails to meet even one of these conditions, then that triangle is not a right triangle.
How to figure out if it is a right triangle - Calculator guide
You can check your triangle in three different ways depending on the known parameters of the triangle you have. To use our right triangle calculator:
- Choose in the Given selection your known set of parameters whether you know the
angles α and β, or
2 sides and 1 angle.
- Skip this step if you choose any of the first two options. If you chose
2 sides and 1 angle, select among the options which sides and angle you know.
- Enter your known measurements depending on your selections.
After entering your last known parameter, our calculator will then display a message if your triangle is a right triangle or not.
Other related calculators
Want to learn more about triangles? Here are our other triangle calculators you can explore:
- Right triangle side and angle calculator;
- Triangle side calculator;
- Missing side of a triangle calculator;
- Triangle length calculator;
- Triangle degree calculator;
- Triangle side and angle calculator;
- Similar right triangles calculator;
- abc triangle calculator;
- Angle of right triangle calculator; and
- Check similarity in right triangles calculator.
Is it possible to draw a right isosceles triangle?
Yes, it is possible. To draw a right isosceles triangle, make sure the sides forming the right angle have equal lengths. Then connect their ends to draw a hypotenuse to form a right isosceles triangle. Drawing a diagonal inside a square will also let you draw right isosceles triangles.
How do I tell if it is a right triangle?
To determine a right triangle, check if:
- One of its interior angles is equal to 90°.
- The sum of two of its angles is equal to 90°.
- Its longest side, say
c, is equal to the square root of the sum of the square of the two shorter sides, say
b. In equation form:
c = √(a² + b²).
- It can meet any of these conditions:
- sin(α) = a/c
- cos(α) = b/c
- tan(α) = a/b
a is the side opposite angle α,
b is the side adjacent to angle α, and
c is the hypotenuse.