Rechtwinklige Dreiecke Rechner

To calculate the properties of a right triangle when given certain information, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The theorem can be written as:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

If you know the length of the hypotenuse and one of the other two sides, you can use the Pythagorean theorem to find the length of the remaining side. For example, if you know the length of the hypotenuse is c and the length of one of the legs is a, you can find the length of the other leg by:

b² = c² - a²

Additionally, you can use the Pythagorean theorem to find the measure of the angles in a right triangle. You can use the inverse trigonometric functions such as arctan, arcsin, arccos to find the angles.

If you know the side lengths, you can use the trigonometric functions to find the angles:

sin α = a/c
cos α = b/c
tan α = a/b

It's important to note that the Pythagorean theorem holds true only for right triangles. If the triangle is not a right triangle, this theorem will not work.Die Rechner für rechtwinklige Dreiecke berechnen Winkel, Seiten (benachbart, gegenüberliegend, Hypotenuse) und Flächen eines rechtwinkligen Dreiecks und verwenden sie in der realen Welt. Zwei unabhängige Eigenschaften bestimmen vollständig jedes rechtwinklige Dreieck. Der Taschenrechner bietet eine schrittweise Erklärung für jede Berechnung.

  Ein rechtwinkliges Dreieck ist eine Art Dreieck mit einem Winkel von C = 90°. In einem rechten Dreieck ist die Seite c, die dem Winkel C = 90° gegenüberliegt, die längste Seite des Dreiecks und wird als Hypotenuse bezeichnet. Die Variablen a, b sind die Längen der kürzeren Seiten, auch Beine oder Arme genannt. Variablen für Winkel sind A, B oder α (alpha) und β (beta). Die Variable h bezieht sich auf die Höhe des Dreiecks, dh die Länge vom Scheitelpunkt C bis zur Hypotenuse des Dreiecks.

Beispiele für die Berechnung des rechten Dreiecks:

• zwei Katheten a und b
• Kathete a und Hypotenuse c
• Kathete a und entgegengesetzten Winkel A
• Kathete a und benachbarten Winkel B
• Hypotenuse c und winkel A
• Hypotenuse c und höhe h
• fläche T und Hypotenuse c
• fläche T und Kathete a
• fläche T und winkel A
• Umkreisradius R und Kathete b
• Umfang p und Hypotenuse c
• Umfang p und Kathete a
• inradius r und Kathete a
• inradius r und fläche T
• Mediane t_a und t_b

Ein rechtwinkliges Dreieck bei Wortproblemen in der Mathematik:

• 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)?
• Vector 7
  Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.
• Height of right RT
  The right triangle ABC has a hypotenuse c 9 cm long and a part of the hypotenuse cb = 3 cm. How long is the height of this right triangle?
• Know one angle
  In a right-angled triangle, the measure of an angle is 40°. Find the measure of other angles of the triangle in degrees.
• Area of RT 2
  Calculate the area of a right triangle whose legs have a length of 9 cm and 6.4 cm.
• Euclidean distance
  Calculate the Euclidean distance between shops A, B, and C, where: A 45 0.05 B 60 0.05 C 52 0.09 The first figure is the weight in grams of bread, and the second figure is the USD price.
• Distance 4527
  There are two points, K and L, KL = 4 cm. Draw a line p passing through point K and having a distance of 4 cm from point L.
• Equilateral 5571
  The height in the equilateral triangle ABC measures the square root of 3 cm. What is the length of the center bar of this triangle?
• Percentage 17613
  At a horizontal distance of 800 m, the ski slope drops to 220 m above sea level. Determine the percentage decrease.
• A-shaped ladder
  An unfolded double ladder (A-shaped rung) is 10 m long. How high will it reach if the painter extends both parts of the ladder and ensures that the two parts of the ladder are 12 m apart on the ground?
• Centimeter 64224
  A ladder leans against the wall. It touches the wall at the height of 340 cm, and its lower end is 160 cm away from the wall. How long is the ladder? Express the result to the nearest centimeter.
• Right-angled 3511
  In a right-angled triangle at vertex C, the alpha angle is 24 degrees smaller than the beta angle to determine the size of the triangle angles.
• Broken tree
  The tree is broken at 4 meters above the ground. The top of the tree touches the ground at a distance of 5 meters from the trunk. Calculate the original height of the tree.
• Perpendiculars 46081
  Calculate the size of the hypotenuse in a triangle if its perpendiculars are 8 cm and 8.4 cm long.
• Hypotenuse 80461
  The ratios of the sides of a right triangle are 3: 4: 5. How long is the hypotenuse if the entire perimeter of the triangle is 48 cm?

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

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