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An envelope is 11 inches wide and measures 19 inches along the diagonal.How tall in inches is the envelope

User Jiddoo
by
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1 Answer

4 votes

Answer:

The envelop is 15.49 inches tall

Explanation:

To find how tall the envelop is, we will follow the steps below;

We can use Pythagoras theorem formula to find the height of the envelop'

adjacent =width of the envelop= 11 inches opposite= height (h) of the evelope = h and hypotenuse = diagonal of the envelop= 19 inches

Using Pythagoras theorem;

opposite² + adjacent² = hypotenuse²

h² + 11² = 19²

h² + 121 = 361

subtract 121 from both-side of the equation

h² + 121-121 = 361-121

h² = 240

Take the square root of both-side

√h² =√ 240

h≈15.49 inches

The envelop is 15.49 inches tall

User PBelanger
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5.4k points