Question

find the area of triangle of side is 5m,7m,and 8m​

Answer 1

Answer:

280m

Step-by-step explanation:

5x7x8= 280

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Answer 2

$\huge\frak{\colorbox{orange}{ \red{\dag \:Answer \dag}}}$

10√3 cm².

$\large\bold\color{tan}{\underbrace{Explanation}:-}$

Let's assume that this triangle is ΔABC. So, area of this triangle is :-

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

(This formula is called Heron's Formula.)

Where,

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

Here,

$s = \frac{5 + 7 + 8}{2} = \frac{20}{2} = 10$

Applying all the values :-

$\tt \small \sqrt{10 \times \{(10 - 5) \times (10 - 7) \times (10 - 8)\}}$

$= > \sqrt{10 \times \{5 \times 3 \times 2 \}}$

$= > \sqrt{ 10 \times5 \times 3 \times 2}$

$= > \sqrt{300}$

$= > \sqrt{2 \times 2 \times3 \times 5\times 5 }$

$= > \large \blue{10 \sqrt{3} \: \: {cm}^{2} }$