# 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

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

## This Post Has 8 Comments

1. Expert says:

step-by-step explanation:

2. marbuigues4675 says:

let the sides of the triangle be 4x, 5x and 3x respectively.
perimeter of triangle = sum of all the sides
96 = 4x+ 5x+ 3x
96 = 12x
96/12 = x
8 = x
hence, 4x = 4 × 8 = 32 cm
5x = 5 × 8 = 40 cm
3x = 3 × 8 = 24cm
semi-perimeter of triangle = perimeter/2
= 96/2
= 48 cm.
acc. to heron's formula,area of triangle = [48(48-32)(48-40)(48-24)]^{1/2}
= [404 cm]^{2}

Thank You!

3. angellv917 says:

let the sides of the triangle be 4x, 5x and 3x respectively.
perimeter of triangle = sum of all the sides
96 = 4x+ 5x+ 3x
96 = 12x
96/12 = x
8 = x
hence, 4x = 4 × 8 = 32 cm
5x = 5 × 8 = 40 cm
3x = 3 × 8 = 24cm
semi-perimeter of triangle = perimeter/2
= 96/2
= 48 cm.
acc. to heron's formula,area of triangle = [48(48-32)(48-40)(48-24)]^{1/2}
= [404 cm]^{2}

Thank You!

4. AleOfficial101 says:

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

Where x is a multiple.

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

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

$\bf \rightarrow \: \frac{96}{12} \: = \: x \\$

$\bf \rightarrow \: \cancel\frac{96}{12} \: ^{8} \: = \: x \\$

$\bf \rightarrow \: x \: = \: 8$

Required sides are :

$\bf \implies \: 3x \: = \: 3 \: \times \: 8 \: = 24$

$\bf \implies \: 4x \: = \: 4 \: \times \: 8 \: = 32$

$\bf \implies \: 5x \: = \: 5 \: \times \: 8 \: = 40$

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

$the lengths of the sides of a triangle are in as ratio 3:4:5., find the lengths of the sides of this$

5. desiree3114 says:

16 one side 32 second side 48 third side

Step-by-step explanation:

16;32;48

3;4;5

6. Batzs3rdacct says:

24,32,40

Step-by-step 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

7. Expert says:

the correct answer is you spend $55.78 more in a brand store that buy ing in a normal store. step-by-step explanation: brand = spend$ 135.85 total

store = spend \$80.07 total

8. bellajuliet13 says:

Let the ratio as
4x
5x
3x
perimeter of triangle =4x+5x+3x
96=12x
96÷12=x
8=x
then , according to question
4x= 32cm
5x=40cm
3x=24cm
area of triangle =