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Lena [83]
3 years ago
9

Need of geometry help pls :)

Mathematics
1 answer:
serious [3.7K]3 years ago
7 0
Here's how to do Module 2.5:

Small length x (whole length) = Small length x (whole length)

Here's (a) just to show you an application)

2.5(2.5 + x) = 4 x 9
6.25 + 2.5x = 36
2.5x = 29.75
x = 11.9
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For the figure on the left, the answers are a = 8 and b = 4

This is a 30-60-90 triangle. The short leg is always opposite the smallest angle (30 degrees). The rule is the smallest side is opposite the smallest angle. Similarly, the largest side is opposite the largest angle. In a right triangle the largest side is always opposite the 90 degree angle. This side is the hypotenuse.

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So long leg = (short leg)*sqrt(3) which means b = 4 must be the case to end up with long leg = 4*sqrt(3)

The hypotenuse is twice that of the short leg, so a = 2*b = 2*4 = 8

=======================================

For the figure on the right, the answers are x = 2*sqrt(3) and y = 2

The short leg is y, which is opposite the 30 degree angle (this is another 30-60-90 triangle). So y is half of the hypotenuse 4. That explains how y = 2.

The long leg x is equal to sqrt(3) times the short leg, so

(long leg) = (short leg)*sqrt(3)

x = y*sqrt(3)

x = 2*sqrt(3)

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3 years ago
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Step-by-step explanation:

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