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

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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: h

step-by-step explanation:

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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}

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Thank You!

Plzzz SUBSCRIBE my YouTube channel (BanarasNDIA) if this answer is helpful for you.This is my YouTube channel Link-https://www.youtube.com/channel/UC27NLinpXVunbzVQ0vdHabQ

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}

Don't forget to SUBSCRIBE my YouTube channel (BanarasNDIA) if this answer is helpful for you.This is my YouTube channel Link-https://www.youtube.com/channel/UC27NLinpXVunbzVQ0vdHabQ

Thank You!

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

Where x is a multiple.

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

[tex]\bf \rightarrow \: 96 \: = \: 12x[/tex]

[tex]\bf \rightarrow \: \frac{96}{12} \: = \: x \\[/tex]

[tex]\bf \rightarrow \: \cancel\frac{96}{12} \: ^{8} \: = \: x \\[/tex]

[tex]\bf \rightarrow \: x \: = \: 8[/tex]

Required sides are :

[tex]\bf \implies \: 3x \: = \: 3 \: \times \: 8 \: = 24[/tex]

[tex]\bf \implies \: 4x \: = \: 4 \: \times \: 8 \: = 32[/tex]

[tex]\bf \implies \: 5x \: = \: 5 \: \times \: 8 \: = 40[/tex]

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

[tex]the lengths of the sides of a triangle are in as ratio 3:4:5., find the lengths of the sides of this[/tex]

16 one side 32 second side 48 third side

Step-by-step explanation:

16;32;48

3;4;5

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

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step-by-step explanation:

brand = spend $ 135.85 total

store = spend $80.07 total

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 =