larisaarcidiacono larisaarcidiacono

11-02-2024
Mathematics

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M is a point on side BC of the rectangle ABCD such that m∠AMD = 90°, AM = 40 and DM =30. Find AB.

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SAMYRIBEIR0 SAMYRIBEIR0

11-02-2024

Answer:

Since triangle AMD is a right triangle with AM = 40 and DM = 30, we can use the Pythagorean theorem to find the length of AD:

Since ABCD is a rectangle, AD = BC. Therefore, BC = 50.

Now, since AB is parallel to DC and BC = AD = 50, we know that AB = DC = 50.

So, AB = 50.

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