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CBSE Class 10 Answered

The altitude of a right triangle is 7cm,less than its base. If the hypotenuse is 13cm , find the other two sides  
Asked by goyalsamar40 | 03 Jan, 2019, 02:55: PM
answered-by-expert Expert Answer
Let base of the triangle be x cm. Hence altitude is (x-7) cm.
 
Since hypotenuse is 13 cm, we have,  x2 + (x-7)2 = 132
 
2x2 -14x - 120 = 0   or  x2 -7x -60 = 0   or (x-12)(x+5) = 0
 
hence x = 12, two sideds are 12 cm and 5 cm
Answered by Thiyagarajan K | 03 Jan, 2019, 08:54: PM

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