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(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:
- 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? - 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 - Laws
From which law directly follows the validity of Pythagoras' theorem in the right triangle? ... - Double ladder
The double ladder shoulders should be 3 meters long. What height will the upper top of the ladder reach if the lower ends are 1.8 meters apart? - Area of RT 2
Calculate the area of a right triangle whose legs have a length of 6.2 cm and 9.8 cm. - 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. - 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. - Double ladder
The double ladder is 8.5m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach? - RT triangle and height
Calculate the remaining sides of the right triangle if we know side b = 4 cm long and height to side c h = 2.4 cm. - Triangle ABC
In a triangle ABC with the side BC of length 2 cm. Point K is the middle point of AB. Points L and M split the AC side into three equal lines. KLM is an isosceles triangle with a right angle at point K. Determine the lengths of the sides AB, AC triangle A - Calculate
Calculate the length of a side of the equilateral triangle with an area of 50cm². - Vector 7
Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|. - Right angled
We built a square with the same area as the right triangle with legs 12 cm and 20 cm. How long will be the side of the square? - Inscribed rectangle
What is the perimeter of a rectangle inscribed in a circle whose diameter is 5 dm long? Answer: 14 dm - Iso triangle
An isosceles triangle with a base of 8 cm. Its circumference is 28 cm. Calculate the height of the triangle.
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
