Question

find the area of triangle is s-a = 7cm , s-b = 8cm and s-c = 21cm where a, b and c are three sides and s is semi perimeter of triangle​

Answer 1

Step-by-step explanation:

According to Heron’s Formula the area of a triangle can be determined using the following formula:

A = √(s(s-a)(s-b)(s-c))

A=7,b=12,c=13

First of all, we need to determine the s, which is the semi-perimeter of the triangle:

s = ½ (a + b + c) = ½ (7 +12 + 13) = 16

Now by inserting the value of the semi-perimeter into the Heron’s formula we can determine the area of the triangle:

A = √(s · (s-a) · (s-b) · (s-c))

A = √(16 · (16-7) · (16-12) · (16-13))

A = √(16 · (9) · (4) · (3))

A = √(1726 ) =

A=41.569 m²