If the side of an equilateral triangle is 'a' centimetre then find its area using heron's formula
shreyabembalkar:
a+a+a/2 =3a/2 a =3/2
Answers
Answered by
34
Heron's Formula is the formula used for getting the area of triangles. Heron's Formula :-
Where, s = semi perimeter and a,b and c are sides.
So we have an equilateral triangle with all sides = a cm
So semi perimeter = (a + b + c) ÷ 2
=>
So put the value of s, a, b and c in the formula to get the area
=> area =
=
=
Hence the area of equilateral triangle =
Where, s = semi perimeter and a,b and c are sides.
So we have an equilateral triangle with all sides = a cm
So semi perimeter = (a + b + c) ÷ 2
=>
So put the value of s, a, b and c in the formula to get the area
=> area =
=
=
Hence the area of equilateral triangle =
Answered by
10
Answer:
Step-by-step explanation:
s= (a+a+a)/2
s= 3a/2
ar=root [s(s-a)(s-b)(s-c)]
ar= root [3a/2 *( 3a/2 - a) * (3a/2 - a) * (3a/2 - a)]
ar = root [3a/2 * a/2 * a/2 * a/2]
ar = root[ 3 * a/2 * a/2 * a/2 * a/2]
ar = a^2/4 root[3]
ar = * a^2
Similar questions