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pogonyaev
3 years ago
7

Find the SLANT HEIGHT of the pyramid, then calculate its SURFACE AREA.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0

Answer:

13 cm

Step-by-step explanation:

slant height = \sqrt{12^2 +\frac{10^2}{4} }

=\sqrt{144 + \frac{100}{4} }

=\sqrt{144 + 25}

=\sqrt{169}

=13 cm

a=10 cm

l =

surface area =a^{2} + 2a \sqrt{\frac{a^{2} }{4} +h^{2}  }

=10^{2} +2*10 \sqrt{\frac{10^{2} }{4} +12^{2} } \\100 + 20 \sqrt{\frac{100}{4} + 144} \\100 + 20\sqrt{25 + 144} \\100 + 20 \sqrt{169} \\100 + 20*13\\100 + 260\\360 cm^2

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