Question

The area of a triangle whose sides are 4 cm. 13 cm and 15 cm is
576 cm²
b) 30 cm²
c) 26 cm²
d) 24 cm²​

Answer 1

Using Heron's formula i.e.

A=

s(s−a)(s−b)(s−c)

where,

a=5 cm

b=12 cm

c=13 cm

s=

2

a+b+c

=

2

5+12+13

=15cm

A=

15(15−5)(15−12)(15−13)

A=

15×10×3×2

∴A=30 cm

2

∴A=0.003 m

2

Answer 2

Answer:

ANSWER

The sides of triangle are 4 cm,13 cm,15 cm

Using Heron's formula,

Area of triangle =

s(s−a)(s−b)(s−c)

where s=

2

a+b+c

∴s=

2

4+13+15

=16 cm

∴ Area =

16(16−4)(16−13)(16−15)

∴ Area =

16×12×3×1

=4×6

=24 cm

Hence, option B.