Question

the sides of a triangle are 50 cm,78 cm and 112 cm.the smallest altitude is
using heron's formula

Answer 1

Step-by-step explanation:

let a=50cm

b=78cm

c=112

S= a+b+c/2

= 50+78+112

=240/2

=120

Area =

s(s−a)(s−b)(s−c)

=

120(120−50)(120−78)(120−112)

=

2822400

=1680cm²

longest side = 120cm

corresponding to this side as the base the altitude will be smallest .

area = 1/2 × b× altitude

= 1680 cm

1/2× 112 × altitude = 1680

altitude = 30cm

hope it helps you...