SOLUTION: a rectangle is 2.8 cm wide and the lenght of each diagonals is 5.3 cm calculate the lenght of the rectangle

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Question 1079430: a rectangle is 2.8 cm wide and the lenght of each diagonals is 5.3 cm calculate the lenght of the rectangle
Answer by MathLover1(20849) About Me  (Show Source):
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if a rectangle has W=2.8cm and d=5.3cm, and we know that diagonal divides rectangle into two right angle triangles, use Pythagorean theorem to calculate the lenght of the rectangle L
d%5E2=L%5E2%2BW%5E2
L%5E2=d%5E2-W%5E2
L=sqrt%28d%5E2-W%5E2%29....substitute given values for d and W
L=sqrt%28%285.3cm%29%5E2-%282.8cm%29%5E2%29
L=sqrt%2828.09cm%5E2-7.84cm%5E2%29
L=sqrt%2820.25cm%5E2%29
L=4.5cm