Question

The lengths of the sides of a triangle are 5cm, 12cm and 13cm, what will be the length of the perpendicular from the vertex opposite the larger side to its side?​

Answer 1

Answer:

Here,

a=5,b=12,c=13

s=

2

1

(a+b+c)=15

Area of the triangle, A =

s(s−a)(s−b)(s−c)

A=

15(15−5)(15−12)(15−13)

A=30 cm

2

Let p be the length of perpendicular. Then,

A=

2

1

×13×p

Therefore,

2

1

×13×p=30

p=

13

60

cm