jeanetteedwin1
Answered

ΔABC is similar to ΔPQR. AB⎯⎯⎯⎯⎯ corresponds to PQ⎯⎯⎯⎯⎯, and BC⎯⎯⎯⎯⎯ corresponds to QR⎯⎯⎯⎯⎯. If AB = 9, BC = 12, CA = 6, and PQ = 3, what are the lengths of QR⎯⎯⎯⎯⎯ and RP⎯⎯⎯⎯⎯?

Verified Answer :

Zac555

QR = 4, RP = 2. Remember that fraction is also known as ratio. So use steps/formulas as per necessary. U can also use algebra ☺

olayemiolakunle65

Answer:

/QR/ = 4 and /RP/ = 2.

Step-by-step explanation:

Comparing the two triangles,

\(\frac{/AB/}{/BC/}\) = \(\frac{/PQ/}{/QR/}\)

⇒ \(\frac{9}{12}\) = \(\frac{3}{/QR/}\)

   /QR/ = 4

Also,

  \(\frac{/AB/}{/AC/}\) = \(\frac{/PQ/}{/PR/}\)

⇒ \(\frac{9}{6}\) = \(\frac{3}{/PR/}\)

   /RP/ = 2

Therefore, /QR/ = 4, /RP/ = 2.

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