Math, asked by Punarvas8874, 10 months ago

Sides of a triangle are in the ratio of 3 : 4 : 5 and its semiperimeter is 60 cm. Find its area.

Answers

Answered by TheEntity
0

Step-by-step explanation:

Semi-perimeter = 60 cm

Perimeter = 2 × 60 cm

= 120 cm

Let the sides of a triangle be 3x , 4x and 5x respectively.

Perimeter of triangle = 3x + 4x + 5x

=> 120 cm = 12x

Therefore, x = 120÷12

= 10 cm

1st Side = 3x

= 3 × 10 cm

= 30 cm

2nd Side = 4x

= 4 × 10 cm

= 40 cm

3rd Side = 5x

= 5 × 10 cm

= 50 cm

Answered by niyasiby20
0

Answer:

Area of triangle = 600cm^2

Step-by-step explanation:

Given; Semi-perimeter = 60 cm

Ratio= 3:4:5

∴ 3x+4x+5x / 2= 60cm

12x/2= 60cm

∴ x= 60/12*2 =10cm

3x = 3 × 10 cm =30 cm

4x =4 × 10 cm =40 cm

5x = 5 × 10 cm =50 cm

∴ Area of triangle = √s(s-a)(s-b)(s-c) {the whole root}

=√60(60-30)(60-40)(60-50)

=√60*30*20*10

=600cm^2

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