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Find the unknown segment (x) in each of the following figure. Use the theorem of two intersecting chord and solve it​

Find The Unknown Segment X In Each Of The Following Figure Use The Theorem Of Two Intersecting Chord And Solve It class=

Sagot :

KAntoineDoixidn

✒️POWER THEOREM

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[tex] \large\underline{\mathbb{DIRECTIONS}:} [/tex]

  • Find the unknown segment (x) in each of the following figure. Use the theorem of two intersecting chord and solve it.

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[tex] \large\underline{\mathbb{ANSWER}:} [/tex]

[tex] \qquad \Large \:\: \rm{1) \; x = 2 \: units } [/tex]

[tex] \qquad \Large \:\: \rm{2) \; x = 4 \: units } [/tex]

[tex] \qquad \Large \:\: \rm{3) \; x = 12 \: units } [/tex]

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[tex] \large\underline{\mathbb{SOLUTIONS}:} [/tex]

No. 1:

  • [tex] (CB)(BE) = (AB)(BD) [/tex]

  • [tex] (9)(x) = (3)(6) [/tex]

  • [tex] 9x = 18 [/tex]

  • [tex] \frac{\,9x\,}{9} = \frac{\,18\,}{9} \\ [/tex]

  • [tex] x = 2 [/tex]

[tex] \therefore [/tex] The length of segment x is 2 units

[tex] \: [/tex]

No. 2:

  • [tex] (NM)(MK) = (OM)(M L) [/tex]

  • [tex] (9)(x) = (12)(3) [/tex]

  • [tex] 9x = 36 [/tex]

  • [tex] \frac{\,9x\,}{9} = \frac{\,36\,}{9} \\ [/tex]

  • [tex] x = 4 [/tex]

[tex] \therefore [/tex] The length of segment x is 4 units

[tex] \: [/tex]

No. 3:

  • [tex] (WV)(VY) = (UV)(VZ) [/tex]

  • [tex] (4)(x) = (6)(8) [/tex]

  • [tex] 4x = 48 [/tex]

  • [tex] \frac{\,4x\,}{4} = \frac{\,48\,}{4} \\ [/tex]

  • [tex] x = 12 [/tex]

[tex] \therefore [/tex] The length of segment x is 12 units

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