Question

the sides of a triangle are 70m , 80m , 90m , find area (✓5 = 2.23)​

Answer 1

Step-by-step explanation:

area =√(s(s-a) (s-b) (s-c))

where s=(a+b+c) /2

s= 120 m

Area=√120×50×40×30

=2683.28

Answer 2

Answer:

Area of the triangle = 2676m²

Step-by-step explanation:

Given :

Sides of the triangle = 70m , 80m , 90m

To find :

The area of the triangle

Taken :

Let ,

a = 70 m

b = 80 m

c = 90 m

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

After that to find the area of the triangle use this formula -:

$\boxed{\rm{A=\sqrt{s(s-a)(s-b)(s-c)}}}$

Solution :

First -:

$:\implies\rm{s=\dfrac{70m+80m+90m}{2}}$

$:\implies\rm{s=\dfrac{\cancel{240}m}{\cancel{2}}}$

$:\implies\rm{s=120m}$

Area of the triangle -:

$:\implies\rm{A=\sqrt{120(120-70)(120-80)(120-90)}{m}^{2}}$

$:\implies\rm{A=\sqrt{120\times50\times40\times30}{m}^{2}}$

$:\implies\rm{A=\sqrt{(30\times4)(5\times10)(4\times10)30}{m}^{2}}$

$:\implies\rm{A=\sqrt{{30}^{2}\times{10}^{2}\times{4}^{2}\times5}{m}^{2}}$

$:\implies\rm{A=30\times10\times4\times2.23\:\:{m}^{2}}$

$:\implies\rm{A=300\times4\times2.23\:\:{m}^{2}}$

$:\implies\rm{A=1200\times2.23\:\:{m}^{2}}$

$:\implies\rm{A=2676{m}^{2}}$

So , the area of the triangle is 2676 m² .