Q:
# What are characteristics of a right triangle?

A:
### Quick Answer

**A right triangle, also known as a right-angled triangle, always has one angle at 90 degrees.** The side directly opposite this angle is known as the hypotenuse, which is the longest side of a triangle.

If the lengths of two sides of a triangle are known, it is possible to calculate the length of the third side using Pythagoras' theorem. This theorem states that the sum of the square of the hypotenuse is equal to the sum of the squares on the other two sides. This theorem only applies to right triangles.

When a right triangle has sides with lengths that are each an integer, it's called a Pythagorean triangle.

Learn more about Shapes-
Q:
## How do you find the altitude of a triangle?

A:The length of the altitude of a right triangle is equal to the geometric mean of the line segments of the hypotenuse. The geometric mean can be thought of as the average length of the two line segments.

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Q:
## What are the 30-60-90 triangle rules?

A:A 30-60-90 triangle has interior angles equal to 30, 60 and 90 degrees. This is always a right triangle with the 90-degree angle located opposite the longest side of the triangle and the 30 degree angle located opposite the smallest side. The sides of a 30-60-90 triangle are always in a 1:root 3:2 ratio with each other, where 2 represents the longest side of the triangle.

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Q:
## How many lines of symmetry does a right triangle have?

A:A right triangle either has one or no lines of symmetry. An isosceles right triangle, one with two sides of equal length, has one line of symmetry. A scalene right triangle, one with no sides of equal length, has no lines of symmetry.

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Q:
## How do you find the hypotenuse of an isosceles triangle, given two lengths?

A:Use the Pythagorean theorem to calculate the hypotenuse of a right triangle. A right triangle is a type of isosceles triangle. The hypotenuse is the side of the triangle opposite the right angle.

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