B. Complete the proportion to compare the first two triangles.
b/c=
c. Cross-multiply...
Mathematics, 28.01.2022 17:40 Yamari000
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=___
Answers: 2
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