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40cm, 30cm
Step-by-step explanation:
Let the altitude BC of right-angled triangle ABC be x cm. Then,
Base = BC = (x+10) cm
Area = 1/2(x+10)x cm ^2
1/2x(x+10)=600
x^2+10x=1200
x^2+10x−1200=0
x^2+40x−30x−1200=0
x(x+40)−30(x+40)=0
(x+40)(x−30)=0
x=30,−40
Hence, Base = 40 cm and Altitude = 30 cm.
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