The base of an isosceles triangle is 20cm. The perimeter of a triangle is 28cm. what is the length of either of the remaining equal sides
if each of the two sides has length x, then
20+2x = 28
x = 4
This is impossible., as each side must be greater than 10.
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The main idea in the book "The Outsiders" by S.E. Hinton is the exploration of the theme of class conflict and the divisions between the social groups of the Greasers and the Socs. It addresses the struggles, conflicts, and prejudices that arise from these divisions, as well as the importance of friendship, loyalty, and finding common ground despite societal differences.
To find the length of either of the remaining equal sides of an isosceles triangle, we need to use the given information about the base and the perimeter.
Let's assume that the lengths of the remaining equal sides are each equal to "x" cm.
In an isosceles triangle, the base divides the triangle into two congruent right triangles. The hypotenuse of each right triangle represents one of the equal sides.
Using the Pythagorean theorem, we can find the length of the equal sides as follows:
1. The formula for the perimeter of a triangle is:
Perimeter = Sum of all sides
2. In an isosceles triangle, two sides are equal, so the perimeter can be expressed as:
Perimeter = Length of base + 2 * Length of equal sides
Since the given perimeter is 28 cm, we have:
28 = 20 + 2 * x
3. Solving the equation for "x":
Subtracting 20 from both sides of the equation gives:
8 = 2x
Dividing both sides of the equation by 2 gives:
x = 4
Therefore, the length of either of the remaining equal sides is 4 cm.