Question 139343
the altitude divides the large triangle into two smaller triangles, both of which are SIMILAR the the large triangle (and each other)


using ratios of similarity __ 4:8::8.9:b and 4:8::8:a


b=17.8 and a=16



trying to check the results using Pythagoras shows that the initial values have been rounded
__ a 4-8-8.9 triangle is NOT a right triangle
__ the 8.9 is actually 4sqrt(5)