# Question: What Are The Sides Of A 30 60 90 Triangle?

## How do you find the side lengths 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..

## What is the relationship between the sides of a 30 60 90 Triangle?

The shortest and longest side in any triangle are always opposite to the smallest and largest angle respectively. This rule also applies to the 30-60-90 triangle. Triangles with the same angle measures are similar and their sides will always be in the same ratio to each other.

## What are the sides of a 45 45 90 Triangle?

The 45 45 90 triangle theorem states that 45 45 90 special right triangles that have sides of which the lengths are in a special ratio of 1 : 1 : 2 1:1:\sqrt{2} 1:1:2 and two 4 5 45 45° angles and one right angle of 9 0 90 90°.

## What is the shortest side of a 30 60 90 Triangle?

In any triangle, the side opposite the smallest angle is always the shortest, while the side opposite the largest angle is always the longest. You can see how that applies with to the 30-60-90 triangle above. Triangles with the same degree measures are similar and their sides will be in the same ratio to each other.

## How do you find the length of the third 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.

## What are the rules for 30 60 90 triangles?

Tips for Remembering the 30-60-90 Rules Remembering the 30-60-90 triangle rules is a matter of remembering the ratio of 1: √3 : 2, and knowing that the shortest side length is always opposite the shortest angle (30°) and the longest side length is always opposite the largest angle (90°).

## What are the angles in a 30 60 90 triangle after it is rotated 45?

45°-45°-90° 30°-60-90. 075-105°-135.

## Which of the following are true statements about a 30 60 90 Triangle?

A 30-60-90 triangle is a right triangle with one leg equal to x, the other leg equal to 2x and the hypotenuse equal to x*sqrt(3). So, there you see that the longer leg is twice as long as the shorter leg (option D) and the hypotenuse is sqrt(3) times as long as the shorter leg (option F).

## What is a 30 60 90 day plan?

A 30-60-90 day plan is what it sounds like: a document that articulates your intentions for the first 30, 60, and 90 days of a new job. It lists your high-level priorities and actionable goals, as well as the metrics you’ll use to measure success in those first three months.

## How many triangles can be drawn having its angles 60 90 30?

one triangleAnswer. there is only one triangle can be drawn having its angle 60, 90, 30. because as the angle sum property the measure of three angle is 180. and as the above given numbers sum is 180 only one triangle can be drawn having these angles.

## How do you do special right triangles?

Step 1: This is a right triangle with two equal sides so it must be a 45°-45°-90° triangle. Step 2: You are given that the both the sides are 3. If the first and second value of the ratio x:x:x√2 is 3 then the length of the third side is 3√2. Answer: The length of the hypotenuse is 3√2 inches.