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
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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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
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
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 =