bootman23
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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

Respuesta :

calculista

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

[tex]RP^2=PQ^2+QR^2[/tex]

substitute the given values

[tex]RP^2=3^2+5.3^2[/tex]

[tex]RP^2=37.09[/tex]

[tex]RP=6.1\ units[/tex]

taylorvierthaler

Answer:

6.1

Step-by-step explanation:

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