Question

Given circle V with diameter TU and radius VR. RS is tangent to V at R. If RU =15 and VT=13, solve for RT . Round your answer to the nearest tenth if necessary. If the answer cannot be determined click cannot be determined

Answer 1

In this problem, we have that

the triangle URT is a right triangle

because

m by inscribed angle

arc UT=180 degrees ----> because the diameter TU divide the circle into two equal parts

so

mmIn the right triangle URT

we know

RU=15 -----> given

VT=13----> given ----> is the radius

TU=13(2)=26 ----> the diameter is two times the radius

solve for RT

Applying the Pythagorean theorem

TU^2=RT^2+RU^2

26^2=RT^2+15^2

RT^2=26^2-15^2

RT^2=451

RT=21.2 units