If an isosceles triangle has 2 side lenghts of 7 inches and 14 inches, what is the third side? Show you work.
having being looking at this question for a while it imposible to find the third side unless at least angle is given...typo i guess
The short sides cannot be 7, because then you would have a base of 14, and a height of zero. (The two 7" sides would lie down flat on the base.)
Remember that any side must be less than the sum of the other two sides.
So, the base must be 7 and the two equal sides are 14. A tall thin triangle.
So, the 3rd side is 14.
To find the length of the third side of an isosceles triangle, we need to identify the base side. In an isosceles triangle, the base side is opposite the angle formed by the two equal sides.
Given that the two equal sides have lengths of 7 inches and 14 inches, we can assume that the base side is 7 inches. Let's call the length of the third side "x".
Using the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side, we can set up an equation:
7 + 7 > x
Simplifying, we have:
14 > x
So, the length of the third side (x) must be less than 14 inches.
Therefore, we can conclude that there is insufficient information provided to determine the exact length of the third side.