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Sergeeva-Olga [200]
4 years ago
11

Find the diagonal (d) of the base

Mathematics
1 answer:
bazaltina [42]4 years ago
3 0

Answer:

4\sqrt{5}\ un.

Step-by-step explanation:

The picture shows rectangular prism with rectangular base and heigth h. The dimenssions of base rectangle are l and w.

The diagonal of reactangle with known length l and width w can be calculated using the Pythagorean theorem:

d^2=l^2+w^2,\\ \\d^2=8^2+4^2,\\ \\d^2=64+16,\\ \\d^2=80,\\ \\d=4\sqrt{5}\ un.  

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