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

A sculptor is planning to make two triangular prisms out of steel The sculptor will use ABC for the bases of one prism and DEF for the bases of the other prism class=

Respuesta :

mhanifa

Answer:

a)

Verify is the corresponding sides have same ratio:

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

Since the ratios are same, the triangles are similar

b)

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

  • (6/5)² = 1.44 times

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