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Mathematische Probleme mit Dreiecks-SAS-Theorem:
- SAS calculation
Given the triangle ABC, if side b is 31 ft., side c is 22 ft., and angle α is 47°, find side a. Please round to one decimal.
- Triangle SAS
Calculate the triangle area and perimeter if the two sides are 46 m and 33 m long and angle them clamped is 170 °.
- Scalene triangle
Solve the triangle: A = 50°, b = 13, c = 6
- Greatest angle
Calculate the greatest triangle angle with sides 124, 323, 302.
- Side c
In △ABC a=1, b=6 and ∠C=110°. Calculate the length of the side c.
- The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle.
- Calculate 2
Calculate the largest angle of the triangle whose sides are 5.2cm, 3.6cm, and 2.1cm
- Cosine - legs
Using the law of cosines, find the measurement of leg b if the givens are β=20°, a=10, and c=15.
- Isosceles triangle and cosine
Using the cosine theorem, prove that in an isosceles triangle ABC with base AB, c=2a cos α.
- 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).
- Vector sum
The magnitude of the vector u is 2 and the magnitude of the vector v is 11. The angle between vectors is 64°. What is the magnitude of the vector u + v?
- Triangle and its heights
Calculate the length of the sides of the triangle ABC if va=13 cm, vb=15 cm and side b are 5 cm shorter than side a.
- Medians of isosceles triangle
The isosceles triangle has a base ABC |AB| = 16 cm and a 10 cm long arm. What is the length of the medians?
- SAS triangle
The triangle has two sides, long 7 and 19, and includes angle 47°24'. Calculate the area of this triangle.
- Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°.
- Two forces 3
Two forces with magnitudes 8 Newtons and 15 Newtons act at a point. Find the angle between the forces if the resultant force is 17 Newtons.
- The angle of view
Determine the angle of view at which the observer sees a rod 16 m long when it is 18 m from one end and 27 m from the other.
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Schauen Sie sich auch die Sammlung von mathematischen Beispielen und Problemen unseres Freundes an:
- 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