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QR is the radius of R and PQ is the tangent to R. Find the value of x.

QR Is The Radius Of R And PQ Is The Tangent To R Find The Value Of X class=

Sagot :

Answer:

x = 39

Step-by-step explanation:

We know that PRQ is a right triangle, so we use the pythagorean theorem to solve the problem. The theorem states that a^2 + b^2 = c^2. Let's assume that the length of RP is c, the length of PQ is a and x is b. We plug the lengths into the equation and solve it:

80^2 + x^2 = 89^2

6400 +x^2 = 7921

x^2 = 1521

x = [tex]\sqrt{1521}[/tex]

x = 39

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