In the given figure, XY || QR, (PQ)/(XQ) = 7/3, and PR = 6.3 cm

Q) In the given figure, XY || QR, (PQ) / (XQ) = 7 / 3 and PR = 6.3 cm. Find the length of YR.

(Q 21 B – 30/2/2 – CBSE 2026 Question Paper)

Ans:

Step 1: Since, by BPT theorm, we know that,

if XY || QR, then $\frac{PQ}{XQ} = \frac{PR}{YR}$

Step 2: After substituting given values, we get:

∵ PQ = 7 cm, XQ = 3 cm, PR = 6.3 cm

∴ $\frac{7}{3} = \frac{6.3}{YR}$

∴ YR = $\frac{6.3 \times 3}{7}$

= 0.9 x 3 = 2.7 cm

Therefore, the length of YR is 2.7 cm.

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