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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

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
 

Grade:

1 Answers

Shanya Singhal
8 Points
6 years ago
(x)(x+10)  = 600 sq. cm  (area of right angled triangle)
     2
So,
x+ 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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