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kupik [55]
3 years ago
12

A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one prism and △DE

F for the bases of the other prism.
(a)Is △ABC similar to △DEF? Explain.
(b)Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? SHOW YOUR WORK FOR BRAINLIEST!!

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

Answer:

a)

<u>Verify is the corresponding sides have same ratio:</u>

  • AB / DE = 50/60 = 5/6
  • BC / EF = 20/24 = 5/6

Since the ratios are same, the triangles are similar

b)

<u>If one dimension is same, the base areas will make difference by the square of the scale factor:</u>

  • (6/5)² = 1.44 times

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Given:
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