Draw is challenged by her geometry teacher to estimate the height of the school

Question

Draw is challenged by her geometry teacher to estimate the height of the school without measuring. She repeatedly walks the length of her flagpole shadow until the reaches the end of the shadow. If Dru is 5 to 6 in, tall and she finds the flagpole shadow is it as long as her own shadow, then what is the approximate height of the flagpole? Explain why the SAS similarity Theorem cannot be used to show Delta ABC - Delta DEF, Solve for length x. Is AB if EC if so, explain your reasoning. Find length x and y. Solve for length x.

Explanation / Answer

Note: Here among these questions question that asks for explanation of why the SAS similarity theorem cannot be used to show triangles ABC and DEF are similar is the first question which is clear. First question in the same page is not at all clear. Hence I am solving this question. think this is question number 21.

21. If an angle (A) of one triangle is congruent to the corresponding angle of another triangle (A') and the lengths of the sides including these angles are in proportion, the triangles are similar. This is SAS similarity.

In the given figure though the lengths of the sides are in proportion, that is 4/6 = 2/3, the two sides does not include the congruent angles say A and D.

For using SAS similarity either angle B should be congruent to angle E or the length of the sides AC and DF should be given.

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