If ∆ABC ~ ∆RPQ, AB = 3 cm, BC = 5 cm, AC = 6 cm, RP = 6 cm and PQ = 10, then find QR
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ɢɪᴠᴇɴ :-
∆ABC = ∆RPQ
AB = 3cm
BC = 5cm
AC = 6cm
RP = 6cm
PQ = 10cm
ᴛᴏ ꜰɪɴᴅ :- QR
ꜱᴏʟᴜᴛɪᴏɴ :-
ʜᴇʀᴇ, ᴀʟʀᴇᴀᴅy ɢɪᴠᴇɴ ᴛʜᴀᴛ ∆ABC = RPQ
RP/AB = PQ/BC = RQ/AC
= 6/3 = 10/5 = RQ/6
ᴛʜᴇʀᴇꜰᴏʀᴇ, 10/5 = RQ/6
RQ = 10 × 6/5
RQ = 12cm
ꜱᴏ ᴛʜᴇʀᴇꜰᴏʀᴇ, QR = 12cm
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