The sides of the triangle are 5: 3: 7. Find the sides of a similar triangle with a perimeter of 45 cm.
June 2, 2021 | education
| From the condition, we know that the sides of the triangle are 5: 3: 7. In order to find the sides of a similar triangle with a perimeter of 45 cm, let’s enter the coefficient of similarity x and use it to write the sides of the rectangle as:
5x; 3x and 7x.
Let’s remember the formula for finding the perimeter of a rectangle.
P = a + b + c, where a, b and c are the sides of the triangle.
Let’s write down the equation and solve it:
5x + 3x + 7x = 45;
15x = 45;
x = 45: 15;
x = 3.
Find the sides of the triangle:
5 * 3 = 15 cm; 3 * 3 = 9 cm; 7 * 3 = 21 cm.
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