Geometry

Geometry Question of the Day

Practice Geometry with the production-style question-of-the-day selection for this public URL.

Question 1

What is the length of the diagonals of trapezoid ? Assume the figure is an isoceles trapezoid.

Trapezoid

Explanation: To find the length of the diagonal, we need to use the Pythagorean Theorem. Therefore, we need to sketch the following triangle within trapezoid

:

We know that the base of the triangle has length

. By subtracting the top of the trapezoid from the bottom of the trapezoid, we get:

Dividing by two, we have the length of each additional side on the bottom of the trapezoid:

Adding these two values together, we get

. The formula for the length of diagonal

uses the Pythagoreon Theorem:

, where

is the point between

and

representing the base of the triangle. Plugging in our values, we get:

Opening subject page...