The sides of a right triangle have lengths (a-b), a , and (a+b) . What is the ratio of a to b, if a is greater than b?
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Answer:
ratio of a to b=1:4
Step-by-step explanation:
by Pythagoras theorem
a^2+(a-b)^2=(a+b)^2
a^2+a^2-2ab+b^2=a^2+2ab+b^2
a^2-2ab+b^2=2ab+b^2
=a^2-2ab=2ab
a^2=2ab+2ab
a^2=4ab
therefore,
a(a) =a(4b)
a=4b
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