Triangle calculator

Please enter what you know about the triangle:

Triangle:

How does this calculator solve a triangle?

1. The expert phase is different for different tasks. The calculator tries to calculate the sizes of three sides of the triangle from the entered data. He gradually applies the knowledge base to the entered data, which is represented in particular by the relationships between individual triangle parameters. These are successively applied and combined, and the triangle parameters are calculated. Calculator iterates until the triangle has calculated all three sides.
   For example, the appropriate height is calculated from the given area of the triangle and the corresponding side. From the known height and angle, the adjacent side, etc., can be calculated. The calculator uses use knowledge, e.g., formulas and relations like the Pythagorean theorem, Sine theorem, Cosine theorem, and Heron's formula.
2. The second stage is the calculation of the properties of the triangle from the available lengths of its three sides.

Examples of how to enter a triangle:

What do the symbols mean?

a, b, c ... sides BC, AC, AB
A, B, C or α, β, γ  ... internal angles
ha, hb, hc ... altitudes (heights)
ma, mb, mc ... medians
T ... area
p ... perimeter
s ... semiperimeter

Triangles in word problems:

• Triangular 82269
  A gardener plants one row of tulips around a triangular bed with sides of 5 m, 6 m, and 10 m. How many tulip bulbs does he need if he wants to plant 8 bulbs on a length of 1 m?
• Intersection 64854
  Draw any triangle. Make the axis of its two sides. Their intersection is point S. (a) Measure the distance of point S from all three vertices (b) Draw the axis of the third party.
• The sides 7
  The sides of the triangle are 5.2, 4.6, and x. If the PERIMETER of the triangle is 11.2 feet, what is the length of the unknown side? (hint: draw a picture)
• Triangle 7142
  ABC triangle, alpha = 54 degrees 32 minutes, beta = 79 degrees. What are the sizes of the exterior angles?

• Triangle: 5072
  change the triangle in a ratio of 3:4 sides of a triangle: a = 7 cm b = 6 cm c = 5 cm
• An isosceles 2
  An isosceles triangular frame has a measure of 72 meters on its legs and 18 meters on its base. Find the perimeter of the frame.
• A triangle 10
  A triangle has vertices at (4, 5), (-3, 2), and (-2, 5). What are the coordinates of the vertices of the image after the translation (x, y) arrow-right (x + 3, y - 5)?
• Circumscribed 29561
  Construct an isosceles triangle if a given circle circumscribed with a radius r = 2.6 cm is given.
• Coefficient 4872
  Find out if the triangles ABC and A'B'C' are similar, determine the similarity coefficient and write the similarity: a = 40 mm, b = 48 mm, c = 32 mm a´ = 60 mm, b´ = 50 mm, c´ = 40 mm

• Calculate 4425
  In the triangle ABC with the center of gravity T, b = 7cm, median to c: tc = 9cm, the ATC angle is 112 degrees. Calculate the length of the line ta.
• Remembered 4705
  Petr remembered that the sizes of all sides of the triangle, measured in meters, were whole numbers smaller than 10. Two sides were 3m and 5m long. However, he needed to remember the size of the third party. Can you help him? What was the size of the thir
• Third interior angle
  Find the third interior angle of the triangle ABC where: α = 48°, γ = 65°.
• A triangular prism
  Find the number of faces, edges, and vertices of a triangular prism.
• Probability 4824
  We have five lines with lengths of 3cm, 5cm, 7cm, 9cm, and 11cm. What is the probability that we will be able to construct a triangle with randomly selected three?

• Vertically 7853
  The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce.

Look also at our friend's collection of math problems and questions:

• triangle
• right triangle
• Heron's formula
• The Law of Sines
• The Law of Cosines
• Pythagorean theorem
• triangle inequality
• similarity of triangles
• The right triangle altitude theorem