Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Please hurry! Will mark brainiest

Find the value of x, then find the perimeter of the triangle.

Please Hurry Will Mark Brainiest Find The Value Of X Then Find The Perimeter Of The Triangle class=

Sagot :

Hrishii

Answer:

x = 4.5

[tex]P(\triangle PQR) = 52\: units[/tex]

Step-by-step explanation:

  • Lengths of tangents drawn from an external point to a circle are equal.

  • -> PS = PT

  • -> PS = 9 units (PT = 9 units)

  • - > 2x = 9

  • -> x = 9/2

  • -> x = 4.5

  • Using the same property of tangents, we find:

  • QU = QT = 4 units

  • RU = RS = 13 units

  • PQ = PT + QT = 9 + 4 = 13 units

  • QR = QU + RU = 4 + 13 = 17 units

  • PR = PS + RS = 9 + 13 = 22 units

  • [tex]P(\triangle PQR) = PQ + QR + PR[/tex]

  • [tex]\implies P(\triangle PQR) = 13 + 17 + 22[/tex]

  • [tex]\implies \huge\orange{P(\triangle PQR) = 52\: units}[/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.