Question

Given: right triangle abc with altitude prove: a2 + b2 = c2 complete the paragraph proof. you can use the similar triangles formed by the altitude to write ratios for corresponding sides. using ratios from the large and medium triangles, = . this can be rewritten as = a2. using ratios from the large and small triangles, = . this can be rewritten as b2 = ec. by substitution, a2 + b2 =. you can then factor as a2 + b2 = c(f + e). from the large triangle, you know (f +
e.=. so, a2 + b2 = c2 by using substitution.

Answer 1

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Answer 2

1) a/f

2)cf

3)c/b

4)cf + ec

5)c