Question

А=4см,в=9см,с=11смнайти:Sтреуг=?​

Answer 1

Если даны три стороны, площадь находим площадь по формуле Герона: $S = \sqrt{p(p-a)(p-b)(p-c)}$

Где p - полуметр, a,b,c - стороны.

P = a+b+c = 4+9+11 = 24 (см)

Полупериметр = 24/2 = 12 (см)

$S = \sqrt{p(p-a)(p-b)(p-c)} = \sqrt{12*(12-4)(12-9)(12-11)} = 12*8*3*1 = 288 (см^2)$

Answer 2

To find the area of the triangle (Sтреуг), we can use Heron's formula, which is applicable for any triangle when you know the lengths of all three sides. Heron's formula is given by:

Sтреуг = √(s * (s - А) * (s - в) * (s - с))

where s is the semi-perimeter of the triangle, given by:

s = (А + в + с) / 2

Now, let's plug in the values:

А = 4 cm в = 9 cm с = 11 cm

First, calculate the semi-perimeter (s):

s = (4 + 9 + 11) / 2 s = 24 / 2 s = 12 cm

Now, use Heron's formula to find the area (Sтреуг):

Sтреуг = √(12 * (12 - 4) * (12 - 9) * (12 - 11)) Sтреуг = √(12 * 8 * 3 * 1) Sтреуг = √(288) Sтреуг ≈ 16.97 cm²

So, the area of the triangle is approximately 16.97 square centimeters.