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8 grade maths

The area of the right angled triangle is 600 sg cm. If the base of the triangle exceeds the altitude by 10 cm. find the dimensions of the triangle

Profile image of shivam ghosh
11 Years agoGrade
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1 Answer

Profile image of Shanya Singhal
11 Years ago
(x)(x+10)  = 600 sq. cm  (area of right angled triangle)
     2
So,
x2 + 10x – 1200 = 0
(x - 30)(x + 40) = 0
x = 30 and x = – 40
rejecting x = – 40 as dimentions of a triangle cannot be in negative
Therefore,
ANSWER= Base = x = 30 cm and Altitude = (x + 10) = 40 cm and hypotenuse = 50 cm (By Pythagorus Theorum)
 

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