triangle ABC similar to triangle pqr area of triangle ABC and pqr 64 CM square and hundred CM square respectively if BC is equal to 4 cm then find QR
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QR = 5 cm if ΔABC ≈ Δ PQR Area of Δ PQR = 100 cm² Area of ΔABC = 64 cm² & BC = 4 cm
Step-by-step explanation:
ΔABC ≈ Δ PQR
Area of Δ PQR / Area of ΔABC = (PQ/AB)² = (QR/BC)² = (PR/AC)²
Area of Δ PQR = 100 cm²
Area of Δ ABC = 64 cm²
BC = 4 cm
QR = ?
Area of Δ PQR / Area of ΔABC = (QR/BC)²
=> 100 /64 = (QR/4)²
=> 25 / 16 = QR²/16
=> QR² = 25
=> QR = 5 cm
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