Math, asked by boakyelinda53, 11 months ago

The sides of triangle are in the ratio 6:8:10. If the perimeter of the triangle is 288cm find the i)longest side.

Answers

Answered by abhi569

Answer:

120 cm.

Step-by-step explanation:

Let the length of the sides are 6a, 8a and 10a.

Here,

Perimeter of the triangle is 288 cm.

This means : sum of lengths of all sides = 288 cm.

⇒ 6a + 8a + 10a = 288 cm

⇒ 24a = 288 cm

⇒ a = 288 / 24 cm

⇒ a = 12 cm

The longest side is 10a( by observation ).

Length of the longest side is 10a = 10( 12 cm ) = 120 cm

Answered by saivivek16

Step-by-step explanation:

Let a be some integer

Given ratio= 6:8:10

6a:8a:10a

sum of them=288cm

6a+8a+10a=288cm

24a=288cm

a=288cm/24

a= 12cm

10a=10(12)=120cm

8a=8(12)=96cm

6a=6(12)=72cm

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