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22 November, 09:41

A quilter wants to make the design shown at left using the Golden Ratio. Specifically, he wants the ratio of the triangle heights A : B and B: C to each equal 1.62. If the quilter makes the triangle height A 8 in, approximately how tall should he make triangle height C?

A. 3in

B. 4in

C. 5in

D. 6in

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Answers (1)
  1. 22 November, 11:29
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    Answer: A. 3 inches

    Step-by-step explanation:

    According to the question,

    The ratio of the height of triangle A and B is 1.62.

    Let the height of A = 1.62 x and the height of B = x

    Where x is any number.

    But the height of A is 8,

    ⇒ 1.62 x = 8

    ⇒ x = 8/1.62

    ⇒ height of B = 4.93827160494

    Again according to the question,

    The ratio of height of triangle B and C is 1.62.

    Thus, let the height of B = 1.62 y and the height of C = y

    Where y is any number.

    ⇒ 1.62 y = 4.93827160494

    ⇒ y = 4.93827160494/1.62

    ⇒ y = 3.04831580552 ≈ 3

    Thus, the height of C = 3 inches (approx)
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