Question

Work out the length of AG in the cuboid below.

Answer 1

The length of AG in the cuboid to 2 decimal places is equal to 112.86 cm.

In Mathematics and Geometry, Pythagorean theorem is an Euclidean postulate that can be modeled or represented by the following mathematical equation:

`c^2=a^2+b^2`

Where:

• a is the opposite side of a right-angled triangle.
• b is the adjacent side of a right-angled triangle.
• c is the hypotenuse of a right-angled triangle.

In order to determine the length of AG, we would have to determine the length of AC by applying Pythagorean's theorem as follows;

`AC^2=AD^2+DC^2\\\\AC^2=23^2+18^2\\\\AC=√(853)`

AC = 29.21 cm.

Now, we can determine the length of AG by applying cosine trigonometric ratio;

cos(75) = AC/AG

cos(75) = 29.21/AG

AG = 29.21/cos(75)

AG = 112.86 cm.