Question

Q.5 find the area of triangle whose sides are 7 cm 8 cm and 9cm( Saſtra
कीजिए जिसकी भुजाएं 7 सेंटीमीटर 8 सेंटीमीटर और 9 सेंटीमीटर है।​

Answer 1

$\huge{\orange{\underline{\overline{\bf{\bigstar\; SoluTion:}}}}}$

Let's

The Triangle be 'ABC'.

Then, AB → a, BC → b, CA → c

From the given information

◍ AB → a = 7cm

◍ BC → b = 8cm

◍ CA → c = 9cm

By Using "Heron's Formula".

$\boxed {Area\;of\; Triangle = \sqrt {s(s-a)(s-b)(s-c)}}$

$\boxed {s = \frac {a+b+c}{2}}$

→ $\bold {s = \frac {7+8+9}{2}}$

→ $\bold {s = \frac {24}{2}}$

→ $\fbox\purple {s = 12cm}$

Now,

→ $\bold {\sqrt {12(12-7)(12-8)(12-9)}}$

→ $\bold {\sqrt {12(5)(4)(3)}}$

→ $\bold {\sqrt {12×60}}$

→ $\bold {\sqrt {720}}$

→ $\bold {26.832}$

$\bf\colorbox{yellow}{Required\; AnSweR:}$

☞ Area of The Triangle = $\fbox\red {26.832m²}$

Hope It Helps You ✌️