How do you find the side lengths of a right triangle with only the hypotenuse?

How do you solve a right angle triangle with only one side?

1. If you have the hypotenuse, multiply it by sin(θ) to get the length of the side opposite to the angle.
2. Alternatively, multiply the hypotenuse by cos(θ) to get the side adjacent to the angle.

How do I find the length of the hypotenuse?

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.

How do you find the hypotenuse of a triangle?

The hypotenuse is termed as the longest side of a right-angled triangle. To find the longest side we use the hypotenuse formula that can be easily driven from the Pythagoras theorem, (Hypotenuse)2 = (Base)2 + (Altitude)2. Hypotenuse formula = √((base)2 + (height)2) (or) c = √(a2 + b2).

Is the hypotenuse always the longest side of a triangle?

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.

How do you find the altitude of the hypotenuse?

Draw the altitude of the hypotenuse on the triangle. The two new triangles you have created are similar to each other and the main triangle. Divide the length of the shortest side of the main triangle by the hypotenuse of the main triangle. Multiply the result by the length of the remaining side to get the length of the altitude.

How do you find the hypotenuse of an isosceles right triangle?

How do I find the hypotenuse of isosceles right triangle? 1 Find the length of one of the non-hypotenuse sides. 2 Square the length of the side. 3 Double the result of the previous step. 4 Square root the result of step 3. This is the length of the hypotenuse.

What does hypotenuse mean in math?

Hypotenuse Meaning Hypotenuse means, the longest side of a right-angled triangle compared to the length of the base and perpendicular. The hypotenuse side is opposite to the right angle, which is the biggest angle of all the three angles in a right triangle.