Question

The semi perimeter of a triangle is 96cm and it’s sides are in the ratio 3:4:5. Find the area of the triangle.

Answer 1

Answer:

Step-by-step explanation:

Let the Side be "x" cm.

=> The Three sides of the Triangle = 3x , 4x & 5x.

Given that;

Semi- PERIMETER of the Triangle = 96cm.

=> ( a +b+c) / 2 = 96

=> 3x + 4x + 5x = 192

=> 12x = 192

=> x = 16.

Now,

The Three Sides are as Follows;

3x = 48cm

4x = 64cm

5x = 80cm.

Now The Area of Triangle;

By Heron's Formula

Area = √ s (s-a) (s-b) (s-c)

=> Area = √ 96 ( 96-48) (96-64) (96-80)

=> Area = √ 96 × 48 × 32 × 16

=> Area = √2359296

=> AREA = 1536 cm².

Hence,

The Area of the Triangle is 1536 cm².

Answer 2

Answer:

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