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4 years ago

The figure is a parallelogram.one diagonal measures 28 units. Is the figure a rectangle? Explain

Mathematics

1 answer:

guajiro [1.7K]4 years ago

5 0

Answer:

The parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.

Step-by-step explanation:

Given the parallelogram with sides 20 and 21 units with diagonal length 28 units.

we have to tell it is a rectangle or not.

The given parallelogram is rectangle if the angle at vertices are of 90° i.e the two triangle formed must be right angles i.e it must satisfy Pythagoras theorem

$28^{2}$ = $20^{2}$ + $21^{2}$

784=400+441=881

Not verified

∴ The sides of the parallelogram do not meet at right angles.

Hence, the parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.

Hope it helps

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<h2>Given Question, </h2>

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