The ratio of the sides of the triangle is 5: 7: 9 knowing that the sum of the larger and smaller sides

| August 6, 2021 | education

The ratio of the sides of the triangle is 5: 7: 9 knowing that the sum of the larger and smaller sides is similar to it in a triangle is 100cm. find the perimeter?

To solve this problem, you need to write an equation. Let one part be x, then one side is 5x cm, the second side is 7x cm, the third side is 9x cm. Knowing that the sum of the larger side -9x and the smaller side-5x is equal to 100 cm, we make an equation.
9x + 5x = 100
14x = 100
x = 100/14
x = 7 2/14 = 7 1/7 cm.
Then the first side is 50/7 * 5 = 250/7 cm, the second side is 50/7 * 7 = 50 cm, the third side is 50/7 * 9 = 450/7 cm.Knowing that the perimeter of the triangle is equal to the sum of its lengths sides, calculate the perimeter.
P = 250/7 + 450/7 + 50 = 700/7 + 50 = 100 + 50 = 150 cm.
Answer: 150 cm.



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