Join IDNLearn.com and start getting the answers you've been searching for. Find the answers you need quickly and accurately with help from our knowledgeable and dedicated community members.

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