Question

the side are in the ratio 4:5:6. the perimetet
of the triangle is 45 cm, find the side of the
triangle​

Answer 1

Answer:

let all angle be x

perimeter= sum of all side

45 cm. = 4x+5x+6x

45 cm. = 15x

45. = x

15

3. = x

1st angle = 4x= 12 cm

2nd angle= 5x= 15cm

3rd angle = 6x= 18 cm

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Answer 2

Given : Sides of a triangle are in ratio 4 : 5 : 6 and the perimeter of the triangle is 45cm

To Find : Sides of the triangle.

⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀_____________________

Put x in the ratio

Now,

$\:$

• First side of the triangle (a) = 4x
• Second side of the triangle (b) = 5x
• Third side of the triangle (c) = 6x

$\:$

It is given that, the perimeter of the triangle is 45cm

$\:$

As we know that :

$\underline{\boxed{\sf\purple{\bigstar \: perimeter \: of \: a \: triangle \: = a + b + c}}}$

$\: \:$

Put the values and solve

$\tt:\implies4x + 5x + 6x = 45 \\ \\ \\ \tt:\implies \: 9x + 6x = 45 \\ \\ \\ \tt:\implies \: 15x = 45 \\ \\ \\ \tt:\implies \: x = \cancel \frac{45}{15} \\ \\ \\ \tt:\implies \: x = \underline{\boxed{\sf\purple{3}}}\bigstar \\ \\ \\ \\ \sf\therefore{\underline{Hence, \: the \: value \: of \: x \: is \: \bold{3}}}$

$\: \:$

Now, Sides are

$\: \:$

• First side = 4x = 4(3) = 12cm
• Second side = 5x = 5(3) = 15cm
• Third side = 6x = 6(3) = 18cm