# How do you find the sides of a 90 degree triangle?

## How do you find the sides of a 90 degree triangle?

Key Takeaways

1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
2. In a right triangle, one of the angles has a value of 90 degrees.
3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

## How do you find the third side of a 90 degree triangle?

Hypotenuse calculator The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c , Pythagoras’ theorem states that: a² + b² = c² . To solve for c , take the square root of both sides to get c = √(b²+a²) .

How do you find the 3rd side of a triangle?

You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle’s other two sides, called the legs. Put another way, if you know the lengths of a and b, you can find c.

### How do you find two missing sides of a triangle?

Given two sides

1. if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² – b²)
2. if leg b is unknown, then. b = √(c² – a²)
3. for hypotenuse c missing, the formula is. c = √(a² + b²)

### What is the formula for a 30 60 90 triangle?

The ratio of the sides follow the 30-60-90 triangle ratio: 1 : 2 : √3 1 : 2 : 3. Short side (opposite the 30 30 degree angle) = x x. Hypotenuse (opposite the 90 90 degree angle) = 2x 2 x. Long side (opposite the 60 60 degree angle) = x√3 x 3.

What triangle has one angle that is exactly 90 degrees?

Right triangles are triangles in which one of the interior angles is 90 degrees, a right angle. Since the three interior angles of a triangle add up to 180 degrees, in a right triangle, since one angle is always 90 degrees, the other two must always add up to 90 degrees (they are complementary).

## What does triangle have less than 90 degrees?

An acute triangle is a triangle in which each angle is an acute angle. Any triangle which is not acute is either a right triangle or an obtuse triangle. All acute triangle angles are less then 90 degrees. For example, an equilateral triangle is always acute, since all angles (which are 60) are all less than 90.

## How to trisect 90 degree angle?

– If two parallel lines are cut by a transversal, opposite angles are equal. – If two sides of a triangle have equal length, then the angles opposite those sides have equal measure. – The sum of the angles of a triangle is 180 degrees.

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