Question

Eshaal is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.

Answer 1

Answer:

The expression i.e. "BC equals AC times CE all over CD" will help Eshaal to determine the length of segment BC.

Step-by-step explanation:

I have assumed you have asked the question as shown in figure a.

Let us consider the triangle ACB as shown in fig a, in which:

Given:  

segments DE and AB are parallel i.e. DE || AB

To Determine:

BC equals AC times CE all over CD i.e. $BC = AC \frac{CE}{CD}$

Solution:

If we observe closely enough, two triangles ABC and DEC are observed similar as their corresponding angles are congruent and the corresponding sides have a certain proportion, as shown in fig b.

So, by AAA (Angle-Angle-Angle) similarity, ΔABC∼ΔDEC  

∠A ≅ ∠D and ∠B ≅ ∠E and ∠C ≅ ∠C

As the corresponding sides of similar triangles ABC and DEC have a certain proportion. So,

$\frac{AB}{DE} = \frac{AC}{CD} = \frac{BC}{CE}$

Therefore,  

                   $\frac{BC}{CE} = \frac{AC}{CD}$

                   $BC = AC \frac{CE}{CD}$

So, BC equals AC times CE all over CD

Therefore, the expression i.e. "BC equals AC times CE all over CD" will help Eshaal to determine the length of segment BC.

Keywords: segment, pyramid, triangle

Learn more about similar triangles from brainly.com/question/2835723

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Answer 2

Answer:

The correct answer is AC equals CB times CD all over CE

Step-by-step explanation:

I took the test and got it right.