Question

5. Find the area of a triangle whose sides are 13 cm, 14 cm
and 15 cm.​

Answer 1

$\bf\huge\underline{given :-}$

Sides of triangle are 13cm ,14 cm and 15 cm respectively

To find :- the area of triangle

$\Huge{\underline{\underline{\mathfrak{ Solution \colon }}}}$

Using heron's formula :

$\sqrt{s(s - a) \: (s - b \: )(s - c)}$

where ,

$⟹ s = \frac{a + b + c}{2}$

a =13

b = 14

c = 15

$⟹s = \frac{12 + 14 + 15}{2}$

s = 21

$A = \sqrt{21(21 - 13)(21 - 14) (21 - 15)}$

A = 84

$\bf\huge\underline{Answer = } </p><p>84$