Question
In similar triangles, side B is 18 inches, B' is 23.4 side A is 11.4, what is the length of side A'? write answer in decimal to the nearest hundredth.
Answers
Answered by
GPT 3.5
To find the length of side A', we can use the property of proportional sides in similar triangles.
The ratio of corresponding sides in similar triangles is equal. So, we can set up a proportion:
A / A' = B / B'
Plugging in the values we know:
11.4 / A' = 18 / 23.4
Cross multiplying, we have:
11.4 * 23.4 = 18 * A'
266.76 = 18 * A'
Divide by 18 to solve for A':
A' = 266.76 / 18 ≈ 14.82
Therefore, the length of side A' is approximately 14.82 inches.
The ratio of corresponding sides in similar triangles is equal. So, we can set up a proportion:
A / A' = B / B'
Plugging in the values we know:
11.4 / A' = 18 / 23.4
Cross multiplying, we have:
11.4 * 23.4 = 18 * A'
266.76 = 18 * A'
Divide by 18 to solve for A':
A' = 266.76 / 18 ≈ 14.82
Therefore, the length of side A' is approximately 14.82 inches.
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