# Can a 30 60 Triangle Draw 90 degrees?

## Can a 30 60 Triangle Draw 90 degrees?

Constructing a 30°- 60°- 90° triangle It works by combining two other constructions: A 30 degree angle, and a 60 degree angle. Because the interior angles of a triangle always add to 180 degrees, the third angle must be 90 degrees.

## Are all isosceles triangles 30 60 90?

This is an isosceles right triangle. The other triangle is named a 30-60-90 triangle, where the angles in the triangle are 30 degrees, 60 degrees, and 90 degrees….45-45-90 and 30-60-90 Triangles.

Hypotenuse Length Leg Length
1.4142 1

How do you find the longer leg of a 30 60 90 Triangle?

In any 30-60-90 triangle, you see the following: The shortest leg is across from the 30-degree angle, the length of the hypotenuse is always double the length of the shortest leg, and you can find the length of the long leg by multiplying the short leg by the square root of 3.

### Which of the following is a true statement about a 30 60 90 Triangle?

Answer Expert Verified 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).

### How do you find the longer leg of a 30 60 90 triangle?

What are the side lengths of a 30 60 90 Triangle?

30°-60°-90° Triangles The measures of the sides are x, x√3, and 2x. In a 30°−60°−90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.

## What makes a 30-60-90 degree triangle special?

A 30-60-90 degree triangle is a special right triangle, so it’s side lengths are always consistent with each other. The ratio of the sides follow the 30-60-90 triangle ratio: These three special properties can be considered the 30-60-90 triangle theorem and are unique to these special right triangles:

How to calculate the ratio of the sides of 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.

### Are there any 30-60-90 triangles similar to ABC?

All 30-60-90 triangles are similar. Line segments DE and FG are perpendicular to side AC of the 30-60-90 triangle, ABC. Triangles ADE and AFG are also 30-60-90 triangles so, △ABC~△ADE~△AFG. This is true for all 30-60-90 triangles.

### Which is an example of the 30-60-90 rule?

Example of 30 – 60 -90 rule. Example 1: Find the missing side of the given triangle. Solution: As it is a right triangle in which the hypotenuse is the double of one of the sides of the triangle. Thus, it is called a 30-60-90 triangle where smaller angle will be 30.