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koban [17]
2 years ago
9

the lengths of the sides of a triangle are in the extended ratio 7:8:9 the perimeter of the triangle is 96cm. what are the lengt

hs of the sides?
Mathematics
2 answers:
Firdavs [7]2 years ago
5 0

Answer:

28 cm, 32cm , 36cm

Step-by-step explanation:

Given:

  • The lengths of the sides of a triangle are in the ratio 7:8:9
  • Perimeter of triangle is 96cm

To Find:

  • The lengths of the sides of triangle?

Solution:

Let:

  • 1st side = 7x
  • 2nd side = 8x
  • 3rd side = 9x

As, we know that,

★ <em><u>Perimeter of Triangle = Sum of all sides </u></em> ★

➝ 7x + 8x + 9x = 96cm

➝ 24x = 96cm

➮ x = 96/24

➮ x = 4

So, length of the sides are:

7x = 7 × 4 ➝ 28cm

8x = 8 × 4 ➝ 32cm

9x = 9 × 4 ➝ 36cm

dusya [7]2 years ago
5 0

Given :

  • The length of the sides of the triangle are in the ratio 7:8:9 .
  • The Perimeter of the Triangle is 96 cm.

To Find :

  • The length of the sides of the triangle.

Solution :

Let us assume the sides be 7x cm, 8x cm and 9x cm.

We know,

\qquad{ \bold{ \pmb{Sum  \: of  \: all  \: sides  \: of  \: the \:  triangle = Perimeter_{(Triangle)}}}}

So, Substituting the values :

\qquad { \dashrightarrow{ \sf{7x + 8x + 9x = 96}}}

\qquad { \dashrightarrow{ \sf{24x= 96}}}

\qquad { \dashrightarrow{ \sf{ \dfrac{24x}{24} =  \dfrac{96}{24} }}}

\qquad { \dashrightarrow{ \bf{ x =  4 }}}

Therefore,

The length of the sides of the triangle are :

\qquad { \dashrightarrow{ \sf{ 7x  \: cm= 7 \times 4 \: cm =  \bf \: 28 \:   cm }}}

\qquad { \dashrightarrow{ \sf{ 8x  \: cm= 8 \times 4 \: cm =  \bf \: 32 \:   cm }}}

\qquad { \dashrightarrow{ \sf{ 9x  \: cm= 9 \times 4 \: cm =  \bf \: 36 \:   cm }}}

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