Question

the sides of a triangle are 22cm, 20cm, and 18cm. Find it's area?

Answer 1



Secondary SchoolMath5 points

The side of trinagle 18cm 20cm and 22cm find its area

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Ask for details FollowReport by Rajafarooqirf02.11.2014

Answers



9999Expert

We can find the area of the triangle using Heron's formula as there is  height and base are specified  

Heron's formula : √ s (s -a) (s - b) (s -c)

Sides of the triangles:

a = 18 cm
b = 20 cm
c = 22 cm 

Perimeter = 18 + 20 + 22 = 60
S = 60/ 2 = 30

s - a = 30 -  18 = 12
s - b = 30 - 20  = 10
s - c = 30 - 22 = 8

√ 30  (12) (10) (8)
= √  2 x 5 x 3 x 2 x 3 x 2 x 5 x 2 x 2 x 2 x2
= 2 x 3 x 5 x 2 x 2 x √2
=  120 √ 2 cm²

Answer 2

Heya, Given:- Sides of the triangle = 22cm, 20cm, 18cm To find:- Area Solution:- Perimeter = a + b + c Perimeter = 22 + 20 + 18 Perimeter = 42 + 18 Perimeter = 60 s = a + b + c / 2 or Perimeter / 2 s = 60/2 s = 30 Using herons formula, Area = √ s ( s-a ) ( s-b ) ( s-c ) Area = √ 30 (30-22) (30-20) (30-18) Area = √ 30 × 8 × 10 × 12 Area = √ 3 × 10 × 4 × 2 × 10 × 4 × 3 Area = 3 × 10 × 4√2 Area = 120√2cm Hope my answer helps you :)