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Natali [406]
3 years ago
11

He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round yo

ur answer to the nearest hundredth.
Mathematics
1 answer:
Minchanka [31]3 years ago
6 0

Answer:

Adjacent = x = length = 6.46 inches

Step-by-step explanation:

Given the width and diagonal of a rectangular postcard,

Find the length using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 7.6 inches

Opposite = 4 inches

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

7.6² = 4² + x²

57.76 = 16 + x²

subtract 16 from both sides

57.76 - 16 = x²

41.76 = x²

Find the square root of both sides

x = √ 41.76

= 6.46

x = 6.46 inches

Adjacent = x = length = 6.46 inches

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