# What is a 30 60 triangle?

## What is a 30 60 triangle?

A 30-60-90 triangle is a special right triangle (a right triangle being any triangle that contains a 90 degree angle) that always has degree angles of 30 degrees, 60 degrees, and 90 degrees. The side opposite the 60° angle will be the middle length, because 60 degrees is the mid-sized degree angle in this triangle.

What is a right isosceles angle?

Isosceles Right Triangle has one of the angles exactly 90 degrees and two sides which is equal to each other. Thus, in an isosceles right triangle two sides are congruent and the corresponding angles will be 45 degree each which sums to 90 degree. So the sum of three angles of the triangle will be 180 degrees.

Are all isosceles triangles 45 45 90?

YES – an isosceles right triangle always a 45o−45o−90o triangle.

### Is Tangent Sin Cos?

The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .

Is a right triangle always isosceles?

No, not all right triangles are isosceles. Although it is possible to have a right triangle that is an isosceles triangle, not all right triangles…

What are the rules of a 45 45 90 Triangle?

The main rule of 45-45-90 triangles is that it has one right angle and while the other two angles each measure 45° . The lengths of the sides adjacent to the right triangle, the shorter sides have an equal length.

## What kind of triangle is 30-60-90?

right triangle
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. To see why this is so, note that by the Converse of the Pythagorean Theorem, these values make the triangle a right triangle.

Does 9 12 15 make a right triangle?

Explanation: By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.

What is the difference isosceles triangle and a scalene?

Alphabetically they go 3, 2, none: Equilateral: “equal” -lateral (lateral means side) so they have all equal sides Isosceles: means “equal legs”, and we have two legs, right? Also i SOS celes has two equal “S ides” joined by an ” O dd” side. Scalene: means “uneven” or “odd”, so no equal sides.

### How to solve isosceles triangle?

For an isosceles triangle , the area can be easily calculated if the height (i.e. the altitude) and the base are known. Multiplying the height with the base and dividing it by 2, results in the area of the isosceles triangle. What is an isosceles triangle? An isosceles triangle is one which has at least two sides of equal length.

How do you prove an isosceles triangle?

You can prove a triangle is isosceles by finding the amount of right angles in a triangle. A triangle containing 2 right angles is classified as isosceles.

How do you solve an isosceles triangle?

How to Solve Equations on Isosceles Triangles. Use a similar formula, Perimeter = 2A + B, to find the perimeter of the isosceles triangle, where A and B are the length of the legs and base. Solve for area just as you would any other triangle using the formula Area = 1/2 B x H, where B is the base and H is the height.

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