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antoniya [11.8K]
2 years ago
5

Someone pleeeeease help me

Mathematics
1 answer:
lukranit [14]2 years ago
7 0

Answer:

22.4cm

Step-by-step explanation:

The formula for the diagonal is:

d =  \sqrt{l^{2} + b^{2} +h {}^{2}   }

Where:

l is the length (AB, CD)

b is the width (BC, AD)

h is the height (AE, BF, CG, DH)

We know d, l, b and we can calculate h

25  =  \sqrt{10^{2} + 8^{2}  + h^{2}  }

We evaluate both sides to ² to remove the square root:

25^{2} = 100 + 64 + h {}^{2}

625 = 164 + h {}^{2}

To find the value of h we have to do the square root, as it is to the ²:

\sqrt{625 - 124}  = h

\sqrt{501}  = h = 22.4cm

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