Question

3) The perimeter of a triangle is 14.4cm and
the ratio of lengths of its side is 2: 3:4
construct of triangle.

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Answer 1

Given:

Perimeter of triangle=14.4cm

Sides of triangle (in ratio) = 2:3:4

To Find:

Sides of triangle by the given ratios and construction of triangle

Solution:

Let side of triangle be 2x, 3x, 4x

Now, perimeter = 14.4cm

→2x+3x+4x = 14.4

→ 9x = 14.4

→ x = 1.6

Side areas:

Side 1 → 2×1.6 = 3.2cm

Side 2 → 3×1.6 = 4.8cm

Side 3 → 4×1.6 = 6.4cm

Construction: (check the attachment)

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Answer 2

Given that:-

The perimeter of a triangle is 14.4cm

ratio of lengths of its side is 2: 3:4

construct of triangle.

Solution:-

➡️2x+3x+4x = 14.4

➡️9x = 14.4

➡️️x = 14.4÷ 9

x = 1.6

=> 1.6

put the values ⤵️⤵️

➡️2x = 2× 1.6 = 3.2

➡️3x = 3×1.6 = 4.8

➡️4x = 4×16 = 6.4

hope it's help you ☺️☺️☝️☝️✍️✍️✍️✍️