Processing Math: Done
Solution 4.1:3b
From Förberedande kurs i matematik 1
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- | {{ | + | Because one of the angles in the triangle is |
- | < | + | <math>90^{\circ }</math>, we have a right-angled triangle and can use Pythagoras' theorem to set up a relation between the triangle's sides. |
- | {{ | + | |
+ | The side of length | ||
+ | <math>\text{13}</math> | ||
+ | is the hypotenuse in the triangle, and Pythagoras' theorem therefore gives us that | ||
+ | |||
+ | |||
+ | <math>13^{2}=12^{2}+x^{2}</math> | ||
+ | |||
+ | |||
+ | i.e. | ||
+ | |||
+ | |||
+ | <math>x^{2}=13^{2}-12^{2}</math> | ||
+ | |||
+ | |||
+ | This means that | ||
+ | |||
+ | |||
+ | <math>x=\sqrt{13^{2}-12^{2}}=\sqrt{169-144}=\sqrt{25}=5</math> |
Revision as of 09:32, 27 September 2008
Because one of the angles in the triangle is
The side of length
i.e.
This means that
132−122=
169−144=
25=5