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Novay_Z [31]
2 years ago
15

The length of each side of an equilateral triangle is increased by 6 inches, so the perimeter is now 60 inches. What was the ori

ginal length of each side of the equilateral triangle?​
Mathematics
1 answer:
Nimfa-mama [501]2 years ago
8 0

Answer:

14 inches

Step-by-step explanation:

Using this information, we can form an equation.

Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.

(This is the equation you'd want to do to get the answer)

3x + 3 * 6 = 60

Simplify:

3x + 18 = 60

Same to both sides

3x = 42

Isolate x:

x = 14

Let me know if you have any questions

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Step-by-step explanation:

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First, expand the terms inside the bracket you will get

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16( \tan {}^{2} (x)  -  \sin {}^{2} (x) ) = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

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