Question

The sides of a triangle are in the raio 3:5:8. If the perimeter of the triangle is 272 cm,
find the measure of each side.
ratio o​

Answer 1

Answer :-

• First side of triangle = 51 cm
• Second side of triangle = 85 cm
• Third side of triangle = 136 cm

Given :-

• Ratio of sides = 3 : 5 : 8
• Perimeter of triangle = 272 cm

To Find :-

• First side of triangle = ?
• Second side of triangle = ?
• Third side of triangle = ?

Explanation :-

Let the sides of the triangle to be '3x' , '5x' and '8x' respectively.

$\blue { \boxed { \bf \bigstar Perimeter \; of \; Triangle = Side \; 1 +Side \; 2 + Side \; 3 \; \bigstar }}$

$\rm : \; \longmapsto 3x + 5x + 8x = 272 \; \; cm$

$\rm : \; \longmapsto 8x + 8x = 272 \; \; cm$

$\rm : \; \longmapsto 16x = 272 \; \; cm$

$\rm : \; \longmapsto x = \dfrac{272}{16} \; \; cm$

$\purple { \underline { \boxed { \bf : \; \longmapsto x = 17 \; \; cm }}}$

Now substituting the value of 'x',

$\rm : \; \odot \; First \; Side = 3x = 3(17) = \bold{51 \; cm}$

$\rm : \; \odot \; Second \; Side = 5x = 5(17) = \bold{85 \; cm}$

$\rm : \; \odot \; Third \; Side = 8x = 8(17) =  \bold{136 \; cm}$

Hence, the measure of each side of triangle are 51 cm, 85 cm and 136 cm receptively.

Answer 2

Answer:

1st side = 51cm

2nd side = 85cm

3rd side = 136cm

HOPE IT HELPED!!