Rechtwinklige Dreiecke Rechner
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(A) = a/c
cos(A) = b/c
tan(A) = 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 ta und tb
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)? - Vertically 7853
The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce. - Ladder 35331
The ladder is 13 m long, and its lower part is 5 m away from the wall. How high does the ladder reach? - 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?
- Perpendiculars 46081
Calculate the size of the hypotenuse in a triangle if its perpendiculars are 8 cm and 8.4 cm long. - Height 40911
At what height does the 15 m ladder touch the wall if its lower end is 2.5 m away from it? - 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. - Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|. - 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?
- 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. - Calculate 60423
In a right triangle RST with a right angle at the vertex T, we know the lengths of two sides: s = 7.8 cm and t = 13 cm; calculate the third party r. - 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. - 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. - Darnell
Darnell is mountain climbing with Kirk and has just climbed a 9-meter vertical rock face. Kirk is standing at the bottom of the cliff, looking up at Darnell. If Kirk is 15 meters away from Darnell, how far away from the cliff is Kirk standing?
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