Question

the lengths of the sides of a triangle are in as ratio 3:4:5., find the lengths of the sides of this triangle if its perimeter is 96 cm

Answer 1

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

• Where x is a multiple.

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

`\bf \rightarrow \: 96 \: = \: 12x`

`\bf \rightarrow \: (96)/(12) \: = \: x \\`

`\bf \rightarrow \: \cancel(96)/(12) \: ^(8) \: = \: x \\`

`\bf \rightarrow \: x \: = \: 8`

Required sides are :

`\bf \implies \: 3x \: = \: 3 \: * \: 8 \: = 24`

`\bf \implies \: 4x \: = \: 4 \: * \: 8 \: = 32`

`\bf \implies \: 5x \: = \: 5 \: * \: 8 \: = 40`

Hence , the sides of the triangle are 24 , 32 and 40.

Answer 2

24,32,40

Explanation:

side 1: side2: side3: total

3 4 5 3+4+5=12

The total is the perimeter = 96

96/12 = 8

Multiply each term by 8

side 1: side2: side3: total

3*8 4*8 5*8 12*8

24 32 40 96