Question

the base of a right angle triangle exists height by 10cm.if area of that right angle triangle is 600cm^2 find it's perimeter​

Answer 1

Answer:

Let the altitude BC of right-angled triangle ABC be x cm. Then,

Base = BC = (x+10) cm

Area = 1/2(x+10)x. cm²

1/2x(x+10)=600

x²+10x=1200

x²+10x-1200=0

x² +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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