PROPORTION AND RATIOS

PROPORTION AND RATIOS

1. Similarity between right-angled triangles Right-angled triangles are especially important. Let’s see the criteria that we use to check if two triangles are similar or not. So in this case, they can be put in Thales’ position, as you can see on the right. Also in these cases they can be put into Thales’ position.

2. Side rule The two triangles on the right formed by drawing the height of the hypotenuse of a right-angled triangle are similar to the large triangle and to each other. So: a/b=b/m= → b 2 = a · m a/c=c/n = → c 2 = a · n

3. Height rule Triangles MAC and MBA on the right are similar, therefore: m n h h = → h2 = m · n

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