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)?
• 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.
• 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?
• Euclid2
  The ABC right triangle with a right angle at C is side a=29 and height v=17. Calculate the perimeter of the triangle.
• Area of RT 2
  Calculate the area of a right triangle whose legs have a length of 9 cm and 6.4 cm.
• Catheti
  One of the catheti of the right triangle has a length of 12 cm. At what distance from the center of the hypotenuse is another cathetus?
• 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.
• Inequality triangle
  The heel of height from the vertex C in the triangle ABC divides the side AB in the ratio 1:2. Prove that in the usual notation of the lengths of the sides of the triangle ABC, the inequality 3 | a-b | < c.
• Double ladder
  The double ladder shoulders should be 3 meters long. If the lower ends are 1.8 meters apart, what height will the upper top of the ladder reach?
• Trapezoid - RR
  Find the area of the right-angled trapezoid ABCD with the right angle at the A vertex; a = 3 dm b = 5 dm c = 6 dm d = 4 dm
• Supported 6172
  The ladder is 1.4 m from the wall and touches 3 m high. How long is the ladder?
• Six-sided polygon
  There is a six-sided polygon. The first two angles are equal, the third angle is twice (the equal angles), two other angles are trice the equal angle, while the last angle is a right angle. Find the value of each angle.
• Spruce height
  How tall was the spruce that was cut at an altitude of 8m above the ground, and the top landed at a distance of 15m from the heel of the tree?
• 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.

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