Question

Using Heron's formula find the area of a triangle with base 200cm, height 240 cm and hypotenuse 360cm .​

Answer 1

We can solve it by Heron's formula.

So, semi perimeter will be,

s=

2

150+120+200

=235 cm

So,By herons's formula:-

Area=

s(s−a)(s−b)(s−c)

,

where a=150 cm b=120 cm c=200 cm

By implying values:-

Area=

235(235−150)(235−120)(235−200)

Area=

235×85×115×35

Area=

80399375

Area=8966.57 cm

2