Question

Do the lengths : 5 cm 12 cm 13 cm make a unique triangle?

Answer 1

a=5,b=12,c=13

s= 1/2​(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 cm2

Let p be the length of perpendicular. Then,

A= 1/2 ×13×p

Therefore,

1/2×13×p=30

p= 60/13 cm

Explanation:

I Hope This Helps :)