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babunello [35]
2 years ago
5

Use the side-splitter theorem to solve for x in the triangle below.

Mathematics
1 answer:
fiasKO [112]2 years ago
8 0

Answer:

x = 7

Step-by-step explanation:

According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.

Therefore, based on this theorem, we would have the following:

\frac{x}{21} = \frac{8}{24}

Solve for x

\frac{x}{21} = \frac{1}{3}

Multiply both sides by 21

\frac{x}{21}*21 = \frac{1}{3}*21

x = \frac{21}{3}

x = 7

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Length of the rectangle is 24.5 ft and width is 27.5 ft

Step-by-step explanation:

  • Step 1: Let the length of the rectangle be x, then width = x - 3. Find dimensions when perimeter = 104 ft

Perimeter = 2(length + width)

⇒ 104 = 2(x + x-3)

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Step-by-step explanation:

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2 years ago
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Hi,
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