Question

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

Answer 1

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.