The perimeter of triangle ABC is 15.5 cm. Side AB is 1.5 times the size of side BC.
The perimeter of triangle ABC is 15.5 cm. Side AB is 1.5 times the size of side BC. Side AC is 60% of side BC. Find the side of the triangle.
This problem is more conveniently solved using an equation.
Let x be the value of the length of the side BC, then the length AB is equal to the value of 1.5 * x. According to the condition of the problem, the length of the AC side is equal to 60% of the length AB, that is, if the percent is converted to an ordinary fraction, then we get 6/10, or in a decimal fraction 0.6. That is, AC = 0.6 * x.
Let’s make the equation:
1) x + 0.6 * x + 1.5 * x = 15.5
3.1 * x = 15.5
x = 5 – the length of the aircraft side.
2) 1.5 * 5 = 7.5 – the length of the AB side
3) 0.6 * 5 = 3 – the length of the speaker side
Answer: The lengths of the sides: 3 7.5 5.