Question

perpendicular sides of a right angled triangle are 8 and 6 cm long. another right angled triangle of the same area has one of the perpendicular sides 5 cm long. what is the length of the other? ​

Answer 1

Answer:

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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

⇒21×a×(a+6)=36

⇒a2+6a=72

⇒a2+6a−72=0

⇒a2+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.