B. Complete the proportion to compare the first two triangles. b/c=

c. Cross-multiply the ratios in part b to get a simplified equation.

d. Complete the proportion to compare the first and third triangles.
c/a=

e. Cross multiply the ratios in part d to get a simplified equation.

f. Complete the steps to add the equations from parts c and e. This will make one side of the Pythagorean theorem.
part c: b^2= _
part e: a^2= _
a^2+b^2= _
g. Factor out a common factor from part f.
a^2+b^2=_(_)+(_)

g. Factor out a common factor from part f.

a^2 + b^2=__ (__+__)

h. Finally, replace the expression inside the parentheses with one variable and then simplify the equation to a familiar form. HINT: Look at the large triangle at the top of this problem.
a^2+b^2=___(___)
a^2+b^2=___