source : calculator.net

## Right Triangle Calculator

Please provide 2 values below to calculate the other values of a right triangle. If radians are selected as the angle unit, it can take values such as pi/3, pi/4, etc.

RelatedTriangle Calculator | Pythagorean Theorem CalculatorRight triangle

A right triangle is a type of triangle that has one angle that measures 90°. Right triangles, and the relationships between their sides and angles, are the basis of trigonometry.

In a right triangle, the side that is opposite of the 90° angle is the longest side of the triangle, and is called the hypotenuse. The sides of a right triangle are commonly referred to with the variables a, b, and c, where c is the hypotenuse and a and b are the lengths of the shorter sides. Their angles are also typically referred to using the capitalized letter corresponding to the side length: angle A for side a, angle B for side b, and angle C (for a right triangle this will be 90°) for side c, as shown below. In this calculator, the Greek symbols α (alpha) and β (beta) are used for the unknown angle measures. h refers to the altitude of the triangle, which is the length from the vertex of the right angle of the triangle to the hypotenuse of the triangle. The altitude divides the original triangle into two smaller, similar triangles that are also similar to the original triangle.

If all three sides of a right triangle have lengths that are integers, it is known as a Pythagorean triangle. In a triangle of this type, the lengths of the three sides are collectively known as a Pythagorean triple. Examples include: 3, 4, 5; 5, 12, 13; 8, 15, 17, etc.

Area and perimeter of a right triangle are calculated in the same way as any other triangle. The perimeter is the sum of the three sides of the triangle and the area can be determined using the following equation:

Special Right Triangles

30°-60°-90° triangle:

The 30°-60°-90° refers to the angle measurements in degrees of this type of special right triangle. In this type of right triangle, the sides corresponding to the angles 30°-60°-90° follow a ratio of 1:√3:2. Thus, in this type of triangle, if the length of one side and the side’s corresponding angle is known, the length of the other sides can be determined using the above ratio. For example, given that the side corresponding to the 60° angle is 5, let a be the length of the side corresponding to the 30° angle, b be the length of the 60° side, and c be the length of the 90° side.:

Angles: 30°: 60°: 90°

Ratio of sides: 1:√3:2

Side lengths: a:5:c

Then using the known ratios of the sides of this special type of triangle:

c =b × 2√3=

As can be seen from the above, knowing just one side of a 30°-60°-90° triangle enables you to determine the length of any of the other sides relatively easily. This type of triangle can be used to evaluate trigonometric functions for multiples of π/6.

45°-45°-90° triangle:

The 45°-45°-90° triangle, also referred to as an isosceles right triangle, since it has two sides of equal lengths, is a right triangle in which the sides corresponding to the angles, 45°-45°-90°, follow a ratio of 1:1:√2. Like the 30°-60°-90° triangle, knowing one side length allows you to determine the lengths of the other sides of a 45°-45°-90° triangle.

Angles: 45°: 45°: 90°

Ratio of sides: 1:1:√2

Side lengths: a:a:c

Given c= 5:

45°-45°-90° triangles can be used to evaluate trigonometric functions for multiples of π/4.

500+ Best Triangle Photos · 100% Free Download · Pexels – Download and use 500+ triangle stock photos for free. Daily thousands of new images Completely Free to Use High-quality videos and images from PexelsStock Photography by Vjom 8 / 749 Traffic triangle Stock Photo by IvonneWierink 3 / 108 squares, rectangles, triangles Stock Photographs by cidepix 22 / 3,279 Set of Neon Laser Triangle Border Stock Image by gubh83 5 / 1,101 Triangle vector Stock Photography by Bigsun 3 / 138 Right triangle with pythagorean formula on a blackboard Stock PhotosThe pictures of the right triangle include the triangle that contains the three sides. The right triangle is otherwise known as the rectangle triangle. The one of the interior angle in the triangle is 90 0. I am planning to write more post on Rational Inequalities and its example and, Solve the Proportion and its problem with solution.

Triangle Images and Stock Photos. 767,898 Triangle – 1,764 Free images of Triangle. Related Images: geometric background abstract pattern polygon gradient mosaic geometry color triangle. 966 1080 180. Color Triangle. multicolored background. 1481 1480 353. Triangles Polygon Color. 605 627 81. Starry Sky Star. 267 308 43. Triangle Sky Abstract. 238 356 25. Architecture. 84 93 13. Triangle Ruler Angle.The Miscellaneous Right Triangles ClipArt gallery includes 30 illustrations including the special triangles known as the 30-60-90 and the 45-45-90. There are also images of leaning ladders, buildings, and trees that can be used with application problems involving right triangle trigonometry and use of the Pythagorean theorem.A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides adjacent to the right angle are called legs (or

Pictures of Right Triangles | Study Math Online – Area of an isosceles right triangle Isosceles right triangle is a special right triangle, sometimes called a 45-45-90 triangle. In such triangle the legs are equal in length (as a hypotenuse always must be the longest of the right triangle sides): a = b. One leg is a base and the other is the height – there is a right angle between them.right triangle images. 16,929 right triangle stock photos, vectors, and illustrations are available royalty-free. See right triangle stock video clips. of 170. types of triangles triangle tool math triangles london highway right angled triangles different types of triangles different triangles types of triangle london from top transport plans.Browse Right Triangle pictures, photos, images, GIFs, and videos on Photobucket