Question

1. Construct a AABC, in which: at AB = 6 cm, BC = 7 cm and CA = 5 cm ​

Answer 1

Answer:

Using Heron's formula,

Area of a triangle =

s(s−a)(s−b)(s−c)

where s= semiperimeterof the triangle

a= length of side BC

b= length of side AC

c= length of side AB

In △ABC, a=6, b=7, c=5

Semiperemeter of △ABC=s=

2

a+b+c

=

2

6+7+5

=9

Hence, the area of △ABC=

9×(9−6)×(9−7)×(9−5)

=

9×3×2×4

=6

6

cm

2