Question

The vertical side of a right triangle measures 6 inches, and the horizontal side measures 8 inches

1.Write the ratio of the distance of the vertical side to the distance of the horizontal side as a reduced fraction
2.If the original triangle were enlarged by 3 times, what would the new dimensions be?
3.Does the ratio of vertical side to horizontal side change when scaling up? Explain.

Answer 1

9514 1404 393

Answer:

1. 3/4
2. vertical: 18 in; horizontal: 24 in
3. no change

Explanation:

1. The ratio is ...

(6 in)/(8 in) = 6/8 = 3/4

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2. The scaled dimensions are ...

6 in × 3 = 18 in (vertical side)

8 in × 3 = 24 in (horizontal side)

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3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.