SOLUTION: one leg of a right triangle is 3 millimeters shorter than the longer leg and the hypotenuse is 3 millimeters longer than the longer leg. find the lengths of the sides of the triang
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Question 823899: one leg of a right triangle is 3 millimeters shorter than the longer leg and the hypotenuse is 3 millimeters longer than the longer leg. find the lengths of the sides of the triangle.
The length of the longer leg is? millimeters
The length of the shorter leg is? millimeters
The length of the hypotenuse is? millimeters
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
let legs be and , and the hypotenuse
let shorter leg be
then the longer leg is or
if the hypotenuse is millimeters longer than the longer leg , then .....substitute and you have
use Pythagorean theorem:
................solve for
............write as
............group
............factor out and
solutions:
if => ...........leg cannot be negative length, so disregard this solution
if => ..............your solution; now use it to find out the length of legs and hypotenuse
=>
=> =>
=>=>
check our solution:
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