Question

The sides of a triangle are in the ratio 4 : 5 : 7. If perimeter of the triangle is 32 cm. Find the area of the triangle.

Answer 1

Answer:

here ,

perimeter of triangle is a+b+c

32 = 4x+5x+7x

32. = 16x

32/16. = x

2. =. x

hence ,

a= 8

b=10

c= 14

Area or triangle = 1/2.b.h

=1/2.8.10

=40

Answer 2

Let the sides of Triangle are:

4x, 5x, and 7x

Given,

4x + 5x + 7x = 32

16x = 32

x = 32/16

x = 2

The sides of Triangle are:

4x = 4 × 2 = 8 cm

5x = 5 × 2 = 10 cm

7x = 7 × 2 = 14 cm

Area of Triangle = √s (s-s1) (s-s2) (s-s3)

s = (s1 + s2 + s3)/ 2

= (8 + 10 + 14) / 2

= 32/ 2

s = 16

Area = √16 (16-8) (16-10) (16-14)

= √(16 × 8 × 6 × 2)

= √1536

= 39.19 cm²

≈ 39.2 cm²