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.

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The angle β = 14.5° and leg b = 2.586 ft are displayed as well. The second leg is also an important parameter, as it tells you how far you should place the ladder from the wall (or rather from a roof edge). The general principle to remember is a 4:1 rule – for every four feet of vertical height, the ladder foot should move one foot from the wall.

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The tool will immediately calculate the hypotenuse (and any other missing dimensions). Click on the unit to change it to anyone you like.

The following article explains what the hypotenuse is and how it is calculated using different parameters. It is fun and informative, so we recommend you read it to internalize this concept well.

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.

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Consider a right triangle with angle α = 60° and side a = 5 cm. First, we select the option angle and one side and enter these values. Instantly, the calculator determines that:

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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.

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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:

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!

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Use the Pythagorean theorem to calculate the hypotenuse from the right triangle sides. Take a square root of sum of squares:

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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.

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.

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Enter the known parameters, following the labels in the diagram. To input a parameter in a different unit than the default option, click on the unit, change it, and then enter the parameter value.

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To learn more about calculations involving right triangles visit our area of a right triangle calculator and the right triangle side and angle calculator.

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I'm Hanna, a long-time creator at Omni Calculator, having made numerous useful scientific tools besides this one that resonate and help a wide range of people every day! The idea for this calculator came to me while I was calculating the correct length for a ladder to climb up to my roof. Struck by the ubiquitousness of right triangles in our daily lives, I was determined to make this tool so it may help everyone!

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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!

The calculator is usable in reverse, too. Suppose you must find an unknown side using the hypotenuse (13 cm) and a known side (12 cm). Select two sides as the given parameters, and enter the hypotenuse c = 13 cm and side a = 12 cm. Instantly, you can learn that side b = 5 cm.

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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!