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In the circle above, RV and SW are chords that intersect at point T. If ST = 10 ft, TV = 20 ft, and TW = 30 ft, what is the length of RT? A. 20 ft B. 12.5 ft C. 25 ft D. 15 ft

In the circle above RV and SW are chords that intersect at point T If ST 10 ft TV 20 ft and TW 30 ft what is the length of RT A 20 ft B 125 ft C 25 ft D 15 ft class=

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Answer:

D. 15 ft.

Step-by-step explanation:

There is a theorem that states that if 2 chords intersect inside a circle, the products of the segments of the chords will be congruent to one another.

So, in this circle, ST x TW = RT x TV

Then, you can substitute in the value that are given.

10 (30) = RT (20)

300 = RT (20)

Divide both sides by 20 to get RT by itself.

15=RT

Hope this helped.

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