# Find the area of a triangle two sides of which are 4 cm and 8 cm and the perimeter is 20 cm.

Given: Perimeter of triangle = 20 cm

Two sides of triangle = 4 cm and 8 cm

To Find: Area of the triangle

Concept Used:

If sides of a triangle are a, b, and c, then area of a triangle is given by:

Where s = semiperimeter of the triangle

The perimeter of triangle = Sum of sides of the triangle

Assumption: Let the sides of the triangle be, a, b, and c such that

a = 4 cm, b = 8 cm and a + b + c = 20 cm

Explanation:

a + b + c = 20 cm

4 + 8 + c = 20

12 + c = 20

c = 8 cm

s = 10 cm

Area = 4√15 cm2.

Hence, the area of the triangle is 4√15 cm2.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Heron's Formula43 mins
Heron's formula32 mins
Champ Quiz | Heron's Formula41 mins
Quiz | Heron's Formula44 mins
NCERT | Heron's Formula49 mins
Champ Quiz | Know About Heron's Formula53 mins
Quiz | Heron's Formula45 mins
Quiz | Herons Formula44 mins
Champ Quiz | Area of Triangle53 mins
NCERT | Important Qs. on Herons Formula42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses