# Similar Triangles Problem Solving She stood in front of the tree and started backing until she could see the top edge of the building from above the tree top.She marked her place and measured it from the tree. Knowing that the tree height is 2.8m and Trisha’s eyes height is 1.6m, help Trisha to do the math and calculate the building height.$\frac = \frac = \frac = \frac \Rightarrow 2.8 \times AC = 1.6 \times (5 AC) = 8 1.6 \times AC$ $(2.8 - 1.6) \times AC = 8 \Rightarrow AC = \frac = 6.67$ We can then use the similarity between triangles ΔACB and ΔAFG or between the triangles ΔADE and ΔAFG.

Tags: The Glass Menagerie Essay39 Steps EssayPolitics Dissertation ProposalClass Group ActivitiesHow To Write A Law EssayEssay All About MeEssay About Young Generation

The ratio of the length of two sides of one triangle to the corresponding sides in the other triangle is the same and the angles between these sides are equal i.e.: $\frac=\frac$ and $\angle A_1 = \angle A_2$ or $\frac=\frac$ and $\angle B_1 = \angle B_2$ or $\frac=\frac$ and $\angle C_1 = \angle C_2$ Be careful not to mix similar triangles with identical triangle.

Identical triangles are those having the same corresponding sides’ lengths.

The road map can be geometrically expressed as shown by the figure below.

You may notice that the two triangles ΔABC and ΔCDE are similar and therefore: $\frac = \frac = \frac$ From the problem description, we have: AB = 15km, AC = 13.13km, CD = 4.41km and DE = 5km From the above, we can calculate the following lengths: $BC = \frac = \frac = 13.23km$ $CE = \frac = \frac = 4.38km$ In order for Steve to reach his friend’s house, he may follow any of the following routes: A - Trisha wants to measure the height of a building but she does not have the tools to do so.

First, let us denote each intersection point by a letter as shown in Red on the figure above.

DE and they have the same apex angle C.It appears that one triangle is a scaled version of the other. AB

## Comments Similar Triangles Problem Solving

• ###### Similar Triangles solutions, examples, videos

Properties of Similar Triangles, AA rule, SAS rule, SSS rule, Solving problems with similar triangles, examples with step by step solutions, How to use similar.…

• ###### Similar Triangles - Solving Problems - YouTube

May 18, 2010. Learn how to solve problems for similar triangles. Learn more about online education at…

• ###### Similar Triangles Problem Solving Practice Problems Online.

Similar Triangles Problem Solving on Brilliant, the largest community of math and science problem solvers.…

• ###### Solve similar triangles basic practice Khan Academy

Given two similar triangles and some of their side lengths, find a missing side length.…

• ###### Sample - Art of Problem Solving

And $EFGH$ are not similar, so equal angles are not enough to prove similarity here. □. Let's return to triangles and tackle some problems using AA Similarity.…

• ###### Similar Triangles Examples and Problems with Solutions

Definitions and theorems related to similar triangles are discussed using. Similar Triangles Problems with Solutions. Solve the above for y to obtain. y = 26.25.…