One of the bases of the trapezoid is twice the size of the other, and the middle line is 12 cm. Find the bases of the trapezoid.
In order to find the base of a trapezoid, we will compose an equation.
The condition says that one of the bases of the trapezoid is 2 times larger than the other. It is also known that the middle line is 12 cm.
To compose the equation, we will use the formula to find the midline of the trapezoid.
(a + b) / 2 = m;
Let’s denote the length of one of the bases using the variable x cm, then the second base can be written as 2x cm.
(x + 2x) / 2 = 12;
x + 2x = 24;
3x = 24;
x = 24: 3;
x = 8 cm smaller base and 8 * 2 = 16 cm larger base.
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