Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
1 answer:
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Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a. 12/24 = 18/16 = ½
b. 12/18 = 16/24 = ⅔
c. 12/16 = 18/24 = ¾
d. 18/12 = 24/16 = 3/2
Answer:
c. 12/16 = 18/24 = ¾
Step-by-step explanation:
Given
Two similar triangles
Required
Ratio of corresponding sides
To solve questions like this, you have to make comparisons between the similar sides of the triangle.
From the attached file,
Side PQ is similar to Side AB
And
Side QR is similar to Side BC
Also from the attached file
PQ = 12 and QR = 18
AB = 16 and BC = 24
Now, the ratio can be calculated.
Ratio = PQ/AB or QR/BC
Ratio = PQ/AB
Ratio = 12/16
Divide numerator and denominator by 4
Ratio = ¾
Or
Ratio = QR/BC
Ratio = 18/24
Divide numerator and denominator by 6
Ratio = ¾.
Combining these results
Ratio = 12/16 = 18/24 = ¾
Hence, option C is correct
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