∆ABC ~ ∆PQR, AC = 8cm, PR = 4 cm, QR = 6 cm then find BC.
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BC = 12 cm
Step-by-step explanation:
GIVEN
∆ ABC ~ ∆ PQR
AC = 8 cm
PR = 4 cm
QR = 6 cm
___________________________
TO FIND
BC
___________________________
We know that,
AB = PQ
BC = QR
AC = PR
AC = 8 cm
___________________________
ACCORDING TO THE QUESTION
∆ ABC ~ ∆ PQR
AC = 8 cm
PR = 4 cm
Means
∆ ABC is 2 times ∆ PQR
___________________________
We know that,
By side - Side - Side Test
∆ ABC is 2 times ∆ PQR
So
BC will be 2 times QR
BC = 2 × QR
BC = 2 × 6
BC = 12
BC = 12 cm
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