Given that the perimeter of the triangle is 90 centimeters, we can determine the actual side lengths by multiplying the ratio by a common factor. The total ratio value is 5 + 12 + 13 = 30. To find the actual side lengths, we divide the perimeter by this total ratio value: 90 / 30 = 3. Therefore, the side lengths of the triangle are 5 x 3 = 15 cm, 12 x 3 = 36 cm, and 13 x 3 = 39 cm.
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Let's denote the perimeter of the first triangle as P. Since the triangles are congruent, the perimeter of the second triangle is also P. The sum of their perimeters is then 2P. According to the given statement, this sum is three times the perimeter of the first triangle. So we have the equation 2P = 3P. Simplifying, we find that P = 0, which is not a valid solution. Therefore, there is no triangle for which the sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle.
The perimeter of any triangle is the sum of its 3 sides
You find the three sides of the triangle, and assure that they are all in the same unit, and then add the sides together to find the perimeter of the triangle.
You can't tell. There are an infinite number of triangles that all have a perimeter of 144.
It is necessary to mention that the two triangles are similar.Let the perimeter of the triangle MNP be x cm.Since the triangles XYZ and MNP are similar triangles,8/12 = x/80 (multiply both sides by 80)640/12 = x53.3333... = x53 3/9 = x53 1/3 = xThus, the perimeter of the triangle MNP is 53 1/3 cm.