One side of the triangles is 5 times larger than the other, and the third side is 5 times larger

| September 14, 2021 | education

One side of the triangles is 5 times larger than the other, and the third side is 5 times larger than the first. find the larger side if the perimeter is 70cm.

Let one side of the triangle be equal to X cm.Then, by condition, the other side is equal to X / 5 cm, and the length of the third side is equal to 5 + X cm.

The perimeter is the sum of the lengths of the sides of the triangle.

Let’s make an equation and solve it.

X + X / 5 + 5 + X = 70.

Let us reduce the left side of the equation to the denominator 5.

(5 * X + X + 25 + 5 * X) / 5 = 70;

(11 * X + 25) / 5 = 70;

We multiply one part of the equation by 5.

11 * X + 25 = 350;

11 * X = 325;

X = 325/11 = 29 (6/11) cm. – The length of the first side.

(325/11) / 5) = 65/11 = 5 (10/11) – The length of the second side.

(325/11) + 5 = 380/11 = 34 (6/11) – The length of the third side.

Answer: 29 (6/11) cm, 5 (10/11) cm, 34 (5/11) cm.



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