Question

formula of heron..,...................​

Answer 1

Answer:

√[s(s-a)(s-b)(s-c)]

Answer 2

Question:

What is the formula of heron's formula Give me a example also.

Answer:

⇒$\sqrt{s(s-a)(s-b)(s-c)}$

⇒$s=a+b+c/2$

Explanation:

Formula of Herons

⇒$\sqrt{s(s-a)(s-b)(s-c)}$

⇒    $s=a+b+c/2$

Let us solve a question to understand the were should we use the formula.

1)Find the area of a triangle whose sides are 12 cm, 6 cm and 14 cm.

Sol:

We have to find the Semi perimeter of the lines

Formula:  $S=a+b+c/2$

S = 12+6+14/2

S=42/2

Semi Perimeter = 21 cm

Now we have to use the Semi Perimeter Formula

⇒$\sqrt{s(s-a)(s-b)(s-c)}$

⇒$\sqrt{21(21-12)(21-6)(21-14)}$

⇒$\sqrt{21(9)(15)(7)}$

⇒$\sqrt{21*945}$

⇒$\sqrt{19845}$

⇒140.8722...cm

Hence the area of Triangles is 140.8722...cm.