Question

the sides of a triangle are in the ratio of 4:5:5 and it's perimeter is 168 cm find the area of the triangle


please urgent .....​

Answer 1

Sides Of The triangle are In The ratio 4x , 5x , 5x

area of triangle = a + b + c / 2

4x + 5x + 5x = 168

14x = 168
x = 168 / 14
x = 12

4x = 12 * 4.= 48
5x = 12 *5 = 60
5x = 12 *5 = 60

using herons formula

√s( S -a) (S -b) (S -c)
√12 ( 12 -48) ( 12 - 60) (12 -60)

√12 * 36 * 48 * 48
√2*2 *3 2*2 *3*3 *2*2*2*2*3 *2*2*2*2*3

√2*2*2*2 *2*2*2*2*2*2 *2 *2*3 3*3*3*3*

make perfect square

64√9 cm²

Hope I help you

Answer 2

ANSWER:-

Sides Of The triangle are In The ratio 4x , 5x , 5x

area of triangle = a + b + c / 2

4x + 5x + 5x = 168

14x = 168

x = 168 / 14

x = 12

4x = 12 * 4.= 48

5x = 12 *5 = 60

5x = 12 *5 = 60

using herons formula

√s( S -a) (S -b) (S -c)

√12 ( 12 -48) ( 12 - 60) (12 -60)

√12 * 36 * 48 * 48

√2*2 *3 2*2 *3*3 *2*2*2*2*3 *2*2*2*2*3

√2*2*2*2 *2*2*2*2*2*2 *2 *2*3 3*3*3*3*

make perfect square

64√9 cm²

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