What is the length of the hypotenuse if the legs are 3cm and 4 cm?

The length of the hypotenuse is 5.

How long is hypotenuse of a right 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.

How do you find the angle of a triangle with 3 sides and 1 right angle?

Square each of the three sides. If the sum of the squares of any two sides equals the third squared value then the triangle is a right-angled one. The right angle is opposite the third squared value.

How do you find the hypotenuse of a triangle with one leg?

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²) Given angle and one leg. c = a / sin(α) = b / sin(β), from the law of sines. Given area and one leg.

How do you find the legs of an isosceles triangle?

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 I find the hypotenuse adjacent and opposite? Find the longest side and label it the hypotenuse. The adjacent and opposite can only be found if you choose one of the non right angled angles.

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.

Which is the longest side of a right triangle?

A hypotenuse is the longest side of a right triangle. It’s the side that is opposite to the right angle (90°).