Dreieck-Rechner WSW

Das Dreieck wird gelöst, indem eine Seite und zwei anliegende Winkel (WSW-Satz) verwendet werden. Es wird der Sinussatz verwendet, um die unbekannten Seiten zu bestimmen, dann die Heron-Formel und trigonometrische Funktionen, um die Fläche und andere Eigenschaften des gegebenen Dreiecks zu berechnen.

Wenn Sie eine Seite, den anliegenden Winkel und den Gegenwinkel kennen, verwenden Sie den WWS-Rechner.

Mathematische Probleme mit dem WSW-Satz:

• Perimeter - ASA theorem
  Calculate the perimeter of the triangle ABC if a = 12 cm, the angle beta is 38 degrees, and the gamma is 92 degrees.
• The aspect ratio
  The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle.
• Sine theorem 2
  From the sine theorem, find the ratio of the sides of a triangle whose angles are 30°, 60°, and 90°.
• 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).
• Triangle 75
  Triangle ABC has angle C bisected and intersected AB at D. Angle A measures 20 degrees, and angle B measures 40 degrees. The question is to determine AB-AC if length AD=1.
• Largest angle of the triangle
  Calculate the largest angle of the triangle whose sides have the sizes: 2a, 3/2a, 3a
• 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?
• Parallelogram - area
  Calculate the area of the parallelogram if a = 57cm, the diagonal u = 66cm, and the angle against the diagonal is beta β = 57°43'
• Triangle and its heights
  Calculate the length of the sides of the triangle ABC if v_a=13 cm, v_b=15 cm and side b are 5 cm shorter than side a.
• Two triangles SSA
  We can form two triangles with the given information. Use the Law of Sines to solve the triangles. A = 59°, a = 13, b = 14
• ABCD
  AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD
• Children playground
  The playground has a trapezoid shape, and the parallel sides have a length of 36 m and 21 m. The remaining two sides are 14 m long and 16 m long. Find the size of the inner trapezoid angles.
• Rhomboid
  The rhomboid sides' dimensions are a= |AB|=5cm, b = |BC|=6 cm, and the angle's size at vertex A is 60°. What is the length of the diagonal AC?
• Mast shadow
  The mast has a 13 m long shadow on a slope rising from the mast foot toward the shadow angle at an angle of 15°. Determine the height of the mast if the sun above the horizon is at an angle of 33°. Use the law of sines.
• Two chords
  From the point on the circle with a diameter of 8 cm, two identical chords are led, which form an angle of 60°. Calculate the length of these chords.
• Hypotenuse and center
  Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the area of triangle ABC if the line on the hypotenuse is 0.2 dm long and if angle ∢ACS is 30°.
• Cosine
  Cosine and sine theorem: Calculate all unknown values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? °

mehr Dreiecksprobleme »

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

Weitere Informationen zu Dreiecken oder weitere Details finden Sie unter Dreieck über Dreiecke lösen