# How Do You Work Out The Longest Side Of A Right Angled Triangle?

## How do you find the longest side of a right angled triangle?

The hypotenuse is always opposite the right angle and it is always the longest side of the triangle.

To find the length of leg a, substitute the known values into the Pythagorean Theorem..

## How do you find the missing side of a right angled triangle?

How to find the sides of a right triangleif 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)if leg b is unknown, then. b = √(c² – a²)for hypotenuse c missing, the formula is. c = √(a² + b²)

## Which is the shortest side of a right triangle?

In any triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Thus, in a right triangle, the hypotenuse is always the longest side.

## How do you find the third side of a triangle without angles?

If you want to calculate the third side of the triangle, you need more information than simply two sides. For example, if you know the triangle is a right triangle, or if you know the measure of the included angle between the two known segments, then you can determine the length of the third side.

## How do you find the long side of a triangle?

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle. Triangle Inequality: In any triangle, the sum of the lengths of any two sides is greater than the length of the third side. Pythagorean Theorem: In a right triangle with hypotenuse c, a2+b2=c2.

## How do you work out a right angled triangle?

ExampleStep 1 The two sides we know are Opposite (300) and Adjacent (400).Step 2 SOHCAHTOA tells us we must use Tangent.Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.Step 4 Find the angle from your calculator using tan-1

## How do you find the bottom side of a right triangle?

To find the unknown leg length with a given base length and altitude, use the following formula: sqrt(A^2 – (B / 2)^2), where A is the altitude and B is the length of the base. For example, given an isosceles triangle with base length 6 and altitude 7, the leg lengths are: sqrt(7^2 + (6 / 2)^2) = sqrt(58) = 7.6.

## What is the rule for side lengths of a triangle?

The Formula The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.

## How do you find the side of a 30 60 90 Triangle?

30-60-90 Triangle RatioShort side (opposite the 30 degree angle) = x.Hypotenuse (opposite the 90 degree angle) = 2x.Long side (opposite the 60 degree angle) = x√3.

## How do you find the length of a triangle given two sides and an angle?

Solving SAS Trianglesuse The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two angles,and then use the three angles add to 180° to find the last angle.