ΔABC is similar to ΔPQR. AB⎯⎯⎯⎯⎯ corresponds to PQ⎯⎯⎯⎯⎯, and BC⎯⎯⎯⎯⎯ corresponds to QR⎯⎯⎯⎯⎯. If AB = 9, BC = 12, CA = 6, and PQ

Question

3 years ago

6

= 3, what are the lengths of QR⎯⎯⎯⎯⎯ and RP⎯⎯⎯⎯⎯?

2 answers:

Bumek [7] · Answer 1 · 2022-05-31T08:04:10+03:00

Bumek [7]3 years ago

6 0

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

igor_vitrenko [27] · Answer 2 · 2022-05-31T09:31:29+03:00

3 0

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.