Law of cosines - examplesCosine rule uses trigonometric SAS triangle calculator.
- Angles by cosine law
Calculate the size of the angles of the triangle ABC, if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem).
- Four sides of trapezoid
In the trapezoid ABCD is |AB| = 73.6 mm; |BC| = 57 mm; |CD| = 60 mm; |AD| = 58.6 mm. Calculate the size of its interior angles.
From which law follows directly the validity of Pythagoras' theorem in the right triangle? ?
- Side c
In △ABC a=3, b=8 and ∠C=70°. Calculate length of the side c.
- Heron backlaw
Calculate missing side in a triangle with sides 33 and 27 and area 118.3.
- Triangle SAS
Calculate area and perimeter of the triangle, if the two sides are 19 cm and 80 cm long and angle them clamped is 90°.
- Greatest angle
Calculate the greatest triangle angle with sides 464, 447, 274.
- Find the area
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 50°, b = 30 ft, c = 14 ft
- Vector sum
The magnitude of the vector u is 8 and the magnitude of the vector v is 11. Angle between vectors is 65°. What is the magnitude of the vector u + v?
- Diagonals in diamond
In the rhombus is given a = 160 cm, alpha = 60 degrees. Calculate the length of the diagonals.
- Triangle ABC
Triangle ABC has side lengths m-1, m-2, m-3. What has to be m to be triangle a) rectangular b) acute-angled?
Calculate the length of the diagonals of the rhombus if its side is long 27 and one of its internal angle is 70°.
- Triangle and its heights
Calculate the length of the sides of the triangle ABC, if va=13 cm, vb=17 cm and side b is 5 cm shorter than side a.
- Scalene triangle
Solve the triangle: A = 50°, b = 13, c = 6