Question

QR is tangent to circle P at point Q. Circle P is shown. Line segment P Q is a radius. Line segment Q R is a tangent that intersects the circle at point Q. A line is drawn from point R to point P and goes through a point on the circle. The length of R Q is 5.3 and the length of Q P is 3. What is the approximate length of RP? Round to the nearest tenth. 5.6 units 6.1 units 8.3 units 9.8 units

Answer 1

Answer:

6.1

Step-by-step explanation:

Answer 2

Answer:

The approximate length of RP is 6.1 units

Step-by-step explanation:

we know that

If Line segment Q R is a tangent to circle P at point Q

then

Line segment QR is perpendicular to line segment PQ (radius) and PQR is a right triangle

so

Applying the Pythagorean Theorem

$RP^2=PQ^2+QR^2$

substitute the given values

$RP^2=3^2+5.3^2$

$RP^2=37.09$

$RP=6.1\ units$