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SashulF [63]
3 years ago
14

Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale.

Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

Answer:

height =  \sqrt{ {25}^{2}  -  {24}^{2}  }  = \sqrt{49}   = 7 \\ are =  \frac{48 + 48 + 24}{2}  \times 7 = 193536

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Nikitich [7]
Hi there!

For any 45 45 90 right triangle, the length of the hypotenuse is always the square root of 2 times one of the legs.

To get the lengths of the leg, let's divide the length of the hypotenuse by the square root of 2.

We get the following:

\frac{15}{ 2 \sqrt{2} }

When simplifying fractions like this, we want to avoid having radicals on the bottom. In order to remove the radical from the denominator, let's multiply the numerator and the denominator by the square root of 2.

We get the following:

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Have an awesome day! :)

- collinjun0827, Junior Moderator
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svp [43]

Answer:

Step-by-step explanation:

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3 years ago
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