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The perimeter of a triangle is equal to the sum of the three sides. Call the three sides a, b, and c. Then a+b+c=37 cm. Say a is the unknown side, b is a+3, c is a+4. So perimeter, 37 cm, is equal to a+(a+3)+(a+4). Add up your a's and your numbers, you get 3a+7=37. Subtract 7 from each side, you get 3a=30, a=10. The b (a+3) would equal 13, and c (a+4) would equal 14. And always check your work: 10+13+14 does equal 37.

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Q: What is the answer to the question one side of a triangle is 3 cm longer than the second side and 4 cm longer than the third side how long are the sides of the triangle if its perimeter is 37 cm?
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The sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle?

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.


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This question cannot be answered for two reasons. First: there cannot be a triangle whose area is 36.54 cm because area cannot be measured in cm. Area is a 2-dimensional concept: a centimetre is 1-dimensional. Second: Even if the area was given in appropriate units, the area of a triangle is not enough information to determine its perimeter.


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SAS Inequality Theorem the hinge theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.


The perimeter of a triangle is 76 centimeters the second side is twice as long as the first and the third side is four centimeters shorter than the second how long are each sides?

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