Question

Найдите площадь треугольника по трём сторонам 35 см 29 см 8 см

Answer 1

Ответ:

Решение. a=35 b=29 c=8 P=72 p=36 S=sqrt(p(p-a)(p-b)(p-c))=sqrt(36*1*7*28)=84 Наибольшая высота проведена к наименьшей стороне Hc=2*S/c=2*84/8=21 S=a*b*c/4*R R=a*b*c/4*S=35*29*. 8/4*84=2030/84=1015/42=145/6 r=S/p=84/36=7/3.

Answer 2

Calculating the Area of a Triangle

To find the area of a triangle when the lengths of all three sides are known, you can use Heron's formula. Heron's formula states that the area (A) of a triangle with sides of length a, b, and c is given by:

A = √(s(s - a)(s - b)(s - c))

Where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

Let's calculate the area of the triangle with side lengths 35 cm, 29 cm, and 8 cm using Heron's formula.

Calculation

First, we calculate the semi-perimeter (s): ``` s = (35 + 29 + 8) / 2 = 72 / 2 = 36 ``` Now, we can use Heron's formula to find the area (A): ``` A = √(36(36 - 35)(36 - 29)(36 - 8)) = √(36 * 1 * 7 * 28) = √(7056) = 84 cm² ``` The area of the triangle with side lengths 35 cm, 29 cm, and 8 cm is 84 square centimeters.