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2 years ago

The two pyramids below are similar. What is the length of the altitude of the smallest pyramid?

Mathematics

1 answer:

Scilla [17]2 years ago

4 0

9514 1404 393

Answer:

B. 24/9

Step-by-step explanation:

The linear dimensions are proportional in similar figures, so we have ...

altitude/side = x/4 = 6/9

Multiplying by 4 gives ...

x = 24/9 . . . . matches choice B

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2 years ago

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boyakko [2]

Answer:

See explanation

Step-by-step explanation:

Find the diagonal of the square. The side of the square is 5 cm long. By the Pythagorean theorem,

$\text{Diagonal}^2=\text{Side}^2+\text{Side}^2\\ \\\text{Diagonal}^2=5^2+5^2\\ \\\text{Diagonal}^2=25+25\\ \\\text{Diagonal}^2=50\\ \\\text{Diagonal}=\sqrt{50}=5\sqrt{2}\approx 7.07\ cm$

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