3 years ago

Find the length of BC if ABC is equilateral with AB=12x+4 and AC=8x+12

Mathematics

1 answer:

Citrus2011 [14]3 years ago

4 0

Answer:

BC = 28

Step-by-step explanation:

Since the triangle is equilateral then all 3 sides are congruent.

Equate AB and AC and solve for x, that is

12x + 4 = 8x + 12 ( subtract 8x from both sides )

4x + 4 = 12 ( subtract 4 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2, thus

AC = 8x + 12 = (8 × 2) + 12 = 16 + 12 = 28

Since the 3 sides are congruent then BC = 28

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2 years ago

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How do you solve this

lys-0071 [83]

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Step 1: Subtract -12 from both sides.

2x^2 + 14x - (-12) = -12 - (-12)

2x^2 + 14x + 12 = 0

Step 2: Factor the left side of the equation.

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Step 3: Set Factors equal to 0.

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Hope this helps. : )

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3 years ago

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