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Solution 4.1:3b

From Förberedande kurs i matematik 1

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Because one of the angles in the triangle is 90°, we have a right-angled triangle and can use the Pythagorean theorem to set up a relation between the triangle's sides.

The side of length 13 is the hypotenuse in the triangle, and the Pythagorean theorem therefore gives us that

132=122+x2

i.e.

x2=132122.

This means that

x=132122=169144=25=5.