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Find the length of one side in a similar triangle

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Find the unknown lengths in the pair of similar triangles. (Triangles are not drawn to scale. Assume corresponding sides are in the same position within each triangle.)
a ------- cm (Simplify your answer.)

Find the unknown lengths in the pair of similar triangles.
a --------- mm

Find the perimeter of each triangle. Assume the triangles are similar.
X=

The length of the shadow of a 4-ft stick can be found by comparing its shadow to the shadow of a 27-ft-tall house. The house had a shadow 6-ft long. How long would the stick's shadow be at that time?
The length of the shadow would be -------

Jordan and Lu are walking together and notice that their shadows are different lengths. Jordan's shadow is 210 cm long and Lu's shadow is 170 cm long. If Jordan is 187 cm tall, how tall is Lu?
------ cm (Round to the nearest whole number as needed.

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This solution consists of details of finding the length of one side in a similar triangle.

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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