the area of a triangle whose sides are 4cm, 13cm, 15cm
Answers
Answered by
40
S= 4+13+15/2 = 16
Ar of triangle = under root 16(16-4)(16-13)(16-15)
= under root 16(12)(3)(1)
=under root 2X2X2X2X2X2X3X3X1
= 24 cm sq
Ar of triangle = under root 16(16-4)(16-13)(16-15)
= under root 16(12)(3)(1)
=under root 2X2X2X2X2X2X3X3X1
= 24 cm sq
Answered by
0
Given:
The three sides of a triangle are 4cm, 13cm and 15cm.
To find:
The area of a triangle.
Solution:
The area of a triangle is 24 square centimetres.
To answer this question, we will follow the following steps:
As given, we have,
The three sides of a triangle = 4cm, 13cm and 15cm
Now,
The area of a triangle is given by using Heron's formula which is
where 's' is equal to the half of the perimeter of the triangle and a, b and c are three sides of a triangle.
So,
The perimeter of the given triangle
= sum of lengths of all three sides
Half of perimeter = 32/2 = 16 cm
So,
Area of the given triangle
Hence, the area of a given triangle is 24 square centimetres.
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