Lösung 4.1:3a
Aus Online Mathematik Brückenkurs 1
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Version vom 14:44, 22. Okt. 2008
A right-angled triangle is a triangle in which one of the angles is 90°. The side which is opposite the 90°-angle is called the hypotenuse (marked x in the triangle) and the others are called opposite and the adjacent.
With the help of the Pythagorean theorem, we can write a relation between the sides of a right-angled triangle
| \displaystyle x^2 = 30^2 + 40^2\,\textrm{.} |
This equation gives us that
| \displaystyle \begin{align}
x &= \sqrt{30^{2}+40^{2}} = \sqrt{900+1600} = \sqrt{2500}\\[5pt] &= \sqrt{25\cdot 100} = \sqrt{5^{2}\cdot 10^{2}} = 5\cdot 10 = 50\,\textrm{.} \end{align} |
