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Solution 4.1:3a

From Förberedande kurs i matematik 1

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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

x2=302+402.

This equation gives us that

x=302+402=900+1600=2500=25100=52102=510=50.
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