triangle PQR PR=8CM QR=4 CM PL=5CM .FIND PQR AND PM
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Area of Δ PQR = 10 cm² & QM = 2.5 cm
Step-by-step explanation:
PR = 8 cm
QR = 4 cm
PL = 5 cm
LR² = PR² - PL²
=> LR² = 8² - 5²
=> LR = √39 = 6.245 cm
Area of Δ PLR = (1/2) & PL * LR = (1/2) * 5 *√39 = 15.6 cm²
QR = 4 cm
LQ = LR - QR = 6.245 - 4 = 2.245 cm
Area of Δ PLQ = (1/2) & PL * LQ = (1/2) * 5 * 2.245 = 5.6 cm²
Area of Δ PQR = Area of Δ PLR - Area of Δ PLQ = 15.6- 5.6 =10 cm²
Area of Δ PQR = 10 cm²
Area of Δ PQR = (1/2)* PR * QM = (1/2) * 8 * QM = 10
=> QM = 2.5 cm
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