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Yuri [45]
2 years ago
11

BRAINLIEST To whoever can give the correct answer with an in-depth explanation !

Mathematics
1 answer:
Alexus [3.1K]2 years ago
4 0

Step-by-step explanation:

1

area of the square :

6×6 = 36 cm²

area of the triangle :

6×4/2 = 6×2 = 12 cm²

height of triangle :

area of the triangle is

10×height/2 = 40

10×height = 80

height = 80/10 = 8 cm

width of the logo :

the central square has ashtray an area of 5×5 = 25 cm².

that leaves us 125 - 25 = 100 cm² for the 4 triangles.

I assume all 4 triangles are equal, so each has an area of 100/4 = 25 cm².

the area of such a triangle is

baseline × height / 2.

so, in our case

5 × height / 2 = 25

5 × height = 50

height = 10 cm

and so, the width of the logo is 2 times the height of these side triangles, and 1 time the side length of the central square :

2×10 + 5 = 25 cm

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The concept of similar triangles will be applied.

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So, the corresponding sides from the two triangles can be written as a ratio of one another

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The obvious tell here is the smallest common angle for the two triangles, the two other corresponding sides can then be written in a ratio, matching the bigger side in the two triangles to each other.

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6 0
3 years ago
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