Geometry Escape Challenge C just for code

Students were asked over to answer a question at academics and to express what is most important for them to succeed. One that response stood out from the rest was practice. Successful persons usually aren’t born successful; they become successful from hard work and dedication. This is how you can accomplish your goals. followed below are one of the answer and question example that you can easily use to practice and boost your knowledge and also give you insights that would assist you to sustain your study in school.

Question:

Geometry Escape Challenge C just for code

fill in the white spaces in the table
what does the hint of the crack the code mean?

Answer:

Applying the knowledge of similar triangles, the crack code is: 4,361.

What are Similar Triangles?

If two triangles are similar, therefore, their corresponding sides are proportional, which means the ratios of their corresponding sides are the same.

a. ΔDEF is similar to ΔVRT, therefore:

15/37.5 = DE/30

Cross multiply

DE = (30 × 15)/37.5

DE = 12

b. ΔPAK is similar to ΔWNK, therefore:

62.5/45 = PK/54

PK = (54 × 62.5)/45

PK = 75

c. ΔSFC is similar to ΔAFY, therefore:

36/(x + 6) = (22.4 + 16)/16

36/(x + 6) = 38.4/16

(36)(16) = 38.4(x + 6)

576 = 38.4x + 230.4

576 – 230.4 = 38.4x

345.6 = 38.4x

345.6/38.4 = x

x = 9

d. ΔBNV is similar to ΔHZG, therefore:

20/(x – 1) = 30/(x + 8)

20(x + 8) = 30(x – 1)

20x + 160 = 30x – 30

20x – 30x = -160 – 30

-10x = -190

x = 19

e. ΔEFC is similar to ΔKLM, therefore:

(x – 5)/(5x – 1) = 12/78

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Cross multiply

78(x – 5) = 12(5x – 1)

78x – 390 = 60x – 12

78x – 60x = 390 – 12

18x = 378

x = 21

FE = 5x – 1 = 5(21) – 1

FE = 104

f. ΔMRT is similar to ΔARS, therefore:

(3x + 1)/80 = (3x – 7)/70

70(3x + 1) = 80(3x – 7)

210x + 70 = 240x – 560

210x – 240x = -70 – 560

-30x = -630

x = -630/-30

MT = 3x + 1 = 3(21) + 1

MT = 64

Numbers along the bolded column = 2, 7, 9, 1, 0, 4 = 279,104

The quotient of 279,104 and 64 = 279,104/64 = 4,361.

Thus, applying the knowledge of similar triangles, the crack code is: 4,361.

Learn more about similar triangles on:

They would probably hopefully help the student answer the question by applying the questions and answer examples. You might possibly then have a discussion with your classmate and continue the school learning by studying the topic with one another.

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