Question

the side of a triangle are 16 cm , 30 cm, 34 cm . It's area in ( in cm ² )​

Answer 1

Step-by-step explanation:

Question:-

The sides of a triangle are 16cm,30cm and 34cm. Find the area in cm².

Answer:-

Given :-

Sides of traingle = 16cm , 30cm and 34cm

To find :-

Area of the triangle

Process :-

Firstly,we have to find the perimeter of the triangle in order to find the area.

Then,formula of perimeter,

$s \: = \frac{a+b+c}{2} \: \: \: \: \: (where \: s \: is \: the \: perimeter \: and \: a,b,c \: are \: the \: sides) \\ \\ = s \: = \frac{16+30+34}{2} \\ \\ =s = \frac{80}{2} = 40cm$

After finding the perimeter,we can use Heron's formula to calculate the area:-

Thus,the formula is:-

$= Area \: = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ = Area \: = \: \sqrt{40(40-16)(40-30)(40-34)} \\ \\ = Area \: = \sqrt{40 × 24 \times 10 \times 6 } \\ \\ = Area \: = \sqrt{57600} = 240 {cm}^{2} \: (ans)$

Hence,we can conclude that the area of triangle is 240cm².

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