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

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  1. 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
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  2. 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!

  3. 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]

  4. 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

  5. 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

  6. 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 =

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