How do you find the hypotenuse without the Pythagorean theorem?

If you are given the length of one leg of 30-60-90 right triangle and are asked to find the hypotenuse, it is very easy to do: If you are given the length of the shortest leg (opposite the 30-degree angle,) simply multiply the leg length by 2 to find the length of the hypotenuse.

How do you find the length of a triangle without using the Pythagorean theorem?

Is Pythagorean Theorem only for right triangles?

Pythagoras' theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle or not. In the triangle above, if a 2 < b 2 + c 2 the angle is acute.

How do I find the third side of a triangle?

Different Ways to Find the Third Side of a Triangle

For a right triangle, use the Pythagorean Theorem. For an isosceles triangle, use the area formula for an isosceles. If you know some of the angles and other side lengths, use the law of cosines or the law of sines.

What is the missing side length in this right triangle?

Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2+b2=c2 a 2 + b 2 = c 2 , which is known as the Pythagorean Theorem.

Pythagoras Theorem - Find Hypotenuse - VividMath.com

Does a right triangle always have a hypotenuse?

The sides of right triangles are named in relationship to the interior angles of the triangle. The names of the sides are called, hypotenuse, opposite, and adjacent. The hypotenuse side of a right triangle is always across from the 90 degree angle (the little box). It is always the longest side of the triangle.

What equation could be used to find the length of the hypotenuse?

Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem : Example Question #8. Which set of side lengths CANNOT correspond to a right triangle? Explanation: Because we are told this is a right triangle, we can use the Pythagorean Theorem, a² + b² = c².

How do you find the hypotenuse of a triangle using angles?

If you have an angle and the side opposite to it, you can divide the side length by sin(θ) to get the hypotenuse. Alternatively, divide the length by tan(θ) to get the length of the side adjacent to the angle.

What is the length of the hypotenuse in the triangle?

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Can you use SOH CAH TOA any triangle?

Q: Is sohcahtoa only for right triangles? A: Yes, it only applies to right triangles. If we have an oblique triangle, then we can't assume these trig ratios will work. We have other methods we'll learn about in Math Analysis and Trigonometry such as the laws of sines and cosines to handle those cases.

Is the hypotenuse always C?

Side A and B does not matter when your trying to apply this to the pythagorean theorem but side C must always be the hypotenuse. The hypotenuse is always the triangle's longest side. It is opposite the right angle.

Does the hypotenuse have to be the biggest number?

Pythagorean Triples are sets of whole numbers for which the Pythagorean Theorem holds true. The most well-known triple is 3, 4, 5. This means, that 3 and 4 are the lengths of the legs and 5 is the hypotenuse. The largest length is always the hypotenuse.

Does the hypotenuse equal both legs?

This theorem holds true for this right triangle—the sum of the squares of the lengths of both legs is the same as the square of the length of the hypotenuse. And, in fact, it holds true for all right triangles. The Pythagorean Theorem can also be represented in terms of area.

Can the hypotenuse be the leg of a triangle?

For a right triangle, the side that is opposite of the right angle is called the hypotenuse. This side will always be the longest side of the right triangle. The other two (shorter) sides are called legs.

What if opposite is hypotenuse?

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.

Is c2 always the hypotenuse?

A RIGHT triangle is a triangle with a 90 degree angle. The 90 degree angle in a right triangle is often depicted with a square. NOTE: The side “c” is always the side opposite the right angle. Side “c” is called the hypotenuse.