Answer: 6 cm and 8 cm
Step-by-step explanation:
Based on the question let y be one other side:
since the perimeter minus 10 will give us the combined lengths of the other two sides: 24-10=14 so let the remaining side be 14-y
Area = 1/2 × Base × Heigh => 24 = 1/2 × y × (14 - y)
=> 48 = y(14 - y)
=>14y - y^2 - 48 = 0
=> y^2 - 14y + 48 = 0
=> y^2 - 6y - 8y + 48 = 0
=> y (y - 6) - 8(y - 6) = 0
=> (y - 6)(y - 8) = 0
=> y = 6 or y = 8
therefore the remaining sides are 6 and 8
