Question

How do you find the lengths of the non-parallel sides of a trapezoid with a height of $7m$ and bases of $6m$ and $8m$?

Answer 1

Since, we haven’t been given the question about what kind of trapezoid it is whether an obtuse trapezoid and isosceles trapezoid. We cannot decide whether the non-parallel sides are going equal or not. Hence, we cannot find the lengths of the non-parallel sides.

Complete step by step answer:
We are given a trapezoid with height of $7m$ and has two bases of $6m$ and $8m$.First, we are going to identify what kind of trapezoid it is. In the question, we are not specified about it.Even though we are given the bases, we cannot determine what kind of trapezoid it is, as both the trapezoids have non-equivalent bases as also given trapezoids have non-equivalent bases.

To solve this problem, first note that an isosceles trapezoid has two parallel bases that are non-equivalent in length. Additionally, an isosceles trapezoid must have two nonparallel sides that have equivalent lengths and an obtuse trapezoid has two parallel bases that are not equal and the non-parallel sides are also non-equivalent.Hence, we cannot determine the length of the non-parallel side of the given trapezoid. But it will not be greater than the height.
$For\,\,x,y\, \in \mathbb{R} \\\ \therefore x \geqslant 7\,\,and\,y \geqslant 7$

Note: We have to note that the acute trapezoid also follows the similar properties of measurement like that of the obtuse trapezoid in terms of lengths of sides. It is necessary to find out what kind of trapezoid it is.