SOLUTION: the diagonal of rectangle measures 34cm the width is 16 cm. find the length of the rectangle
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Question 431914: the diagonal of rectangle measures 34cm the width is 16 cm. find the length of the rectangle
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"the diagonal of rectangle measures 34cm the width is 16 cm. find the length of the rectangle"
A right triangle is formed with:
one leg (width) = 16
hypotenuse (diagonal) = 34
Use the pythagorean theorem
a² + b² = c² {a and b are the legs and c is the hypotenuse}
16² + b² = 34² {substituted given information into pythagorean theorem}
256 + b² = 1156 {squared 16 and 34}
b² = 900 {subtracted 256 from both sides}
b = 30 {took square root of 900}
length is 30 cm
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