Question

If two perpendicular sides of a
right-angled triangle are 5 cm and
12 cm, its perimeter is​

Answer 1

Answer:

22cm

Explanation:

12+5+5

22cm

Ans is 22cm

Answer 2

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

⇒1/2 ×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.