With this hypotenuse calculator, you will quickly find the longest side of a right triangle. If you want to know what is the hypotenuse of a right triangle, how to find it, and what is the hypotenuse of a triangle formula, you'll find the answer below, with a simple example to clear things up. Don't wait any longer; give this hypotenuse calculator a try!
A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°). Hypotenuse length may be found, for example, from the Pythagorean theorem. You can learn more about this in our pythagorean theorem calculator.
This hypotenuse calculator has a few formulas implemented - this way, we made sure it fits different scenarios you may encounter. You can find the hypotenuse:
Use the Pythagorean theorem to calculate the hypotenuse from the right triangle sides. Take a square root of sum of squares:
As the area of a right triangle is equal to a × b / 2, then
To learn more about calculations involving right triangles visit our area of a right triangle calculator and the right triangle side and angle calculator.
Let's calculate how long the ladder should be if we want to rescue a kitten from a 10 ft roof. The calculator helps to find the ladder length from the ground to the edge of the roof, but don't forget about the part of the ladder which should extend over the edge!
Yes, the hypotenuse is always the longest side, but only for right-angled triangles. For isosceles triangles, the two equal sides are known as the legs, while in an equilateral triangle, all sides are known simply as sides.
If the hypotenuse is the opposite, then you are considering the wrong angle - you cannot use trigonometry with the right angle of a triangle. Consider one of the other angles. This is as the adjacent angle. The opposite will be the side that does not form that angle.
The hypotenuse angle theorem is a way of testing if two right-angled triangles are congruent or not. It states that if two right-angled triangles have a hypotenuse and an acute angle that is the same, they are congruent.
The word hypotenuse comes from the Ancient Greek hypoteinousa, meaning ‘stretching under (a right angle)’. This, in turn, comes from hypo- ‘under’ and teinein ‘to stretch’. Another thing we have to thank the Ancient Greeks for!
You cannot solve a right-angled triangle with only the hypotenuse. This is because the other two sides and angles are still undefined, so the triangle can still have many forms.
The length of hypotenuse of a right angled triangle is 15. Find the length of median of its hypotenuse.
In a right-angled triangle, the length of the median on its hypotenuse is half the length of the hypotenuse.
Since the length of the hypotenuse =15 unit
We know that,
∴ Length of Median on its hypotenuse = `1/2xx"the length of the hypotenuse"`
`= 7.5 "units"`
Therefore, the length of the median of its hypotenuse is 7.5 units.
Concept: Median of a Triangle
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