If triangleABC~triangle PQR such that 2AB=3PQ and BC =12cn then find t

1.	If triangleABC~triangle PQR such that 2AB=3PQ and BC =12cn then find the lenght of QR
Answer» Answer: $\huge\mathcal{\green{Hola!}}$ $\huge\mathfrak{\red{Answer}}$ : ➝ 8 cm Step-by-step explanation: ☆ Question:- If ∆ ABC ~ ∆ PQR such that 2AB=3PQ and BC =12CM then find the lenght of QR. ☆ Given:- ∆ ABC ~ ∆ PQR 2AB = 3PQ ☆ To find:- Length of QR. ☆ Required Solution:- Given that 2AB = 3PQ $= > \frac{AB}{PQ} = \frac{3}{2}$ $\huge\mathcal{\green{Also,}}$ Given that the two triangles are similar; $\huge\mathcal{\green{Therefore,}}$ AB/PQ = AC/PR = BC/QR $\huge\mathcal{\green{Also,}}$ Length of BC is given as 12 cm. $\huge\mathcal{\green{Therefore,}}$ $\frac{AB}{PQ} = \frac{BC}{QR}$ $= > \frac{3}{2} = \frac{12}{QR}$ QR = 24/3 $\fbox{\purple{➝ \ QR \ = \ 8}}$ $\huge\mathcal{\green{All \ the \ very \ best!}}$ $\huge\mathfrak{\red{@MissTranquil}}$ $\huge\fbox{\orange{be \ brainly}}$