Side lengths

In the triangle ABC, the height to the side a is 6cm. The height to side b is equal to 9 cm. Side "a" is 4 cm longer than side "b". Calculate the side lengths a, b.

Correct result:

a =  12 cm
b =  8 cm

Solution:

S=a va2=b vb2 a va=b vb   6 a=9 b a=4+b=12 cm  6a9b=0 ab=4  a=12 b=8



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