Question

What is the length of PQ? 3 units 4 units 6 units 7 units

Answer 1

length of PQ = length of SR = 4

answer is 4 units

Answer 2

Answer: Second option is correct.

Explanation:

Since we have given that

In Δ TSR,

TR= 3

SR= 4

∠STR = 66°

So, we will first congruent the two triangle i.e.

Consider ΔPTQ and ΔTSR,

PT= TR = 3 (∵ Radii of circle )

∠PTQ= ∠STR = 66° (∵ Vertically opposite angles are equal )

TS= QT = 3 ( ∵ Radii of circle )

∴ ΔPTQ ≅ ΔTSR ( By SAS congruence )

So, by CPCT( corresponding parts of congruent triangle ),

PQ= SR = 4

Hence, PQ =4

Therefore, Second option is correct.