# Enter your answer and show all the steps that you use to solve this problem in the space provided. The two triangles above are similar. A. Find X using the ratio of the sides 12 CM + 16 cm. X over 20 equals 12/16. Show your work. B. Find X using the ratio of the side 6 cm and 8 cm. Show your work. C. Explain why the answers to A&B should be the same.

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Part a) x=15cm

Part b) x=15cm

Part c) The answers are the same because the triangles are similar, therefore the ratio of their corresponding sides are equal

Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of their corresponding sides are equal and is called the scale factor

Part a) Find x using the ratio of the sides 12 cm and 16 cm
so
12/16 = x/20
3/4 = x/20
The ratio of their corresponding sides is called the scale factor and in this problem is equal to 3/4.
solve for x
x = 20 * 3/4
x = 15 cm

Part b) Find x using the ratio of the sides 6 cm and 8 cm
so
6/8 = x/20
3/4 = x/20

Observe that the scale factor is equal to 3/4
solve for x
x = 20 * 3/4
x = 15 cm
Part c) The answers are the same because the triangles are similar, therefore the ratio of their corresponding sides are equal

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2. 12/16 = x/20
3/4 = x/20
15/20 = x/20
x = 15

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3. man you just made me dumber

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4. Sorry if it doesn't make since.

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