Asked by FUNTIME ENNARD

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.


Please help.
Answered by FUNTIME ENNARD
Sorry if it doesn't make since.
Answered by oobleck
12/16 = x/20
3/4 = x/20
15/20 = x/20
x = 15
Answered by HanakoNene
Answer:

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
Answered by ?
man you just made me dumber
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