SOLUTION: in a right triangle the length of the longer leg is 2 centimeters more than twice the length of the shorter leg. the length of the hypotenuse is 8 centimeters more than the length
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Question 949469: in a right triangle the length of the longer leg is 2 centimeters more than twice the length of the shorter leg. the length of the hypotenuse is 8 centimeters more than the length of the shorter leg. find in centimeters the length of the 3 sides of the triangle
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
let the hypotenuse be ,the longer leg and the shorter leg
we know that in a right triangle .....eq.1
given:
in a right triangle the length of the longer leg is more than twice the length of the shorter leg , then we have
the length of the hypotenuse is more than the length of the shorter leg , then we have
go to .....eq.1, substitute and
....simplify, divide by
...factor completely, replace with
...group
solutions:
if
=>
if
=>..-> disregard negative value because we are looking for the length
so, our solution is
now find and
=>=>
=>=>
check if Pythagoras theorem works:
............true; so, these are sides of right angle triangle
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