Question

the length of the sides of a triangle are 5cm,12cm and 13cm.find the length of perpendicular from the opposite vertex to the side whose length is 13cm

Answer 1

Area Of Triangle = Square Root Of (S(S-A)(S-B)(S-C))

Now S = 5+12+13/2 = 15

Now Simply Area = √(15*10*3*2)
Area = √ (900)

Area = 30
Now Area Of Triangle = 1/2*Base*Height

Now Base = 13
Now 
1/2*13*Height = 30

13*Height = 30 *2

13*Height = 60

Height = 60/13 = 4.61 cm

Answer 2

hope this will help you
Area Of Triangle = Square Root Of (S(S-A)(S-B)(S-C)) 
Now S = 5+12+13/2 = 15 
Now Simply Area = √(15*10*3*2) 
Area = √ (900)
Area = 30 
Now Area Of Triangle = 1/2*Base*Height 
Now Base = 13 
Now 
1/2*13*Height = 30 
13*Height = 30 *2 
13*Height = 60
Height = 60/13 = 4.61 cm