Question

In a right angled Triangle,one of the perpendicular sides is 6CM. longer than the other side. If the area of the Triangle is 36cm sq. , what is length of its perpendicular sides?

Answer 1

Answer:

12cm

Step-by-step explanation:

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Answer 2

Answer:

Let the length of one perpendicular be a cm.

Then, the length of the other perpendicular =(a+6)cm

Now, area of triangle =36 sq.cm

⇒  

2

1

​  

×a×(a+6)=36

⇒a  

2

+6a=72

⇒a  

2

+6a−72=0

⇒a  

2

+12a−6a−72=0

⇒(a+12)(a−6)=0

⇒a=12 or a=6

But length cannot be negative, hence a=6 cm

Thus length of its perpendicular sides are, a=6 cm and a+6=12 cm.

Hope it helps...