Perimeter of triangle EMP 18 cm EP side 8 cm EM side length 3.5 cm longer

Perimeter of triangle EMP 18 cm EP side 8 cm EM side length 3.5 cm longer than MP side Find the lengths of the unknown sides of the triangle EMP.

Let’s solve this problem using the equation.

Let the length of the side МР be equal to x centimeters, then the length of the side ЕМ is equal to (x + 3.5) centimeters. We know that the length of the EP side is 8 centimeters and that the perimeter of the EMP triangle is 18 centimeters. Let’s make the equation:

x + x + 3.5 + 8 = 18;

x + x + 11.5 = 18;

x + x = 18 – 11.5;

x + x = 6.5;

x * (1 + 1) = 6.5;

x * 2 = 6.5;

x = 6.5: 2;

x = 3.25 centimeters – the length of the MP side;

3.25 + 3.5 = 6.75 centimeters – the length of the EM side.

Answer: 3.25 centimeters; 6.75 centimeters.