SOLUTION: Find the missing side and the hypotenuse of a right triangle that has one side equal to 293 cm and a perimeter of 1010 cm. Do not round intermediate results. Round only final an

Question 805447: Find the missing side and the hypotenuse of a right triangle that has one side equal to 293 cm and a perimeter of 1010 cm.
Do not round intermediate results. Round only final answers. Round to the nearest whole.
Answer by josgarithmetic(39626) (Show Source): You can put this solution on YOUR website!
Side lengths h, x, y.
h is for hypotenuse.

Perimeter, .
Let one side equal .
Allows for statement, .
Simplify a bit: .

Pythagorean Theorem lets us say

.

System of two equation with unknowns x and h:
and

Take your pick. Use the perimeter equation for a formula for either h or x and substitute into the pythagorean equation. If doing as , then make

Note the on both sides.

, DIFFERENCE OF TWO SQUARES,

'
Just compute x and use it to compute h.
Reminder:
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