The walls of the triangle are 0.8 m, 1.6 m and 2 m. The perimeter of a similar triangle is 13.2m.
August 2, 2021 | education
| The walls of the triangle are 0.8 m, 1.6 m and 2 m. The perimeter of a similar triangle is 13.2m. Find the walls of the second triangle.
The sides of such triangles are correspondingly proportional. Let’s solve the problem using the equation, where:
0.8x – the first side of the second triangle;
1.6x – the second side of the second triangle;
2x – the third side of the second triangle;
Let’s compose and solve the equations, knowing the perimeter of the second triangle:
0.8x + 1.6x + 2x = 13.2;
4.4x = 13.2;
x = 13.2 / 4.4;
x = 3;
0.8x = 0.8 * 3 = 2.4 m – the first side of the second triangle;
1.6x = 1.6 * 3 = 4.8 m – the second side of the second triangle;
2x = 2 * 3 = 6 m – the third side of the second triangle.
Answer: 2.4 m; 4.8 m; 6 m.
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