Question

find the area of a triangle in which a=78 b=50 and c =112 with herons formula ​

Answer 1

Answer:Given:-

a=50m

b=78m

c=112m

As we know that, perimeter is given as-

S=

2

a+b+c

​

⇒S=

2

50+78+112

​

=120

Therefore,

Area of △=

S(S−a)(S−b)(S−c)

​

⇒ Area of △=

120×(120−50)×(120−78)×(120−112)

​

=1680m

2

Again, as we know that,

Area of △=

2

1

​

× Base × Perpendicular

⇒1680=

2

1

​

×112× Perpendicular

⇒ Perpendicular =

112

1680×2

​

=30m

Thus the length of perimeter is 30m.

Hence the correct answer is 30m.

Step-by-step explanation: