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babunello [35]
3 years ago
5

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

Mathematics
1 answer:
fiasKO [112]3 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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