Calculating Lengths in Triangles

The video tutorial explains how to apply Pythagoras' theorem in three dimensions using a cuboid. It involves identifying right triangles within the cuboid to calculate the length of a diagonal. The process includes finding the length of one side using Pythagoras' theorem and then using that result to find the final diagonal length. The tutorial demonstrates the step-by-step calculation, ensuring a clear understanding of the geometric principles involved.

What is the main geometric shape discussed in the video?

• Cone

• Cylinder

• Cuboid

• Sphere

Which triangle is identified to find the length AG?

• Triangle AGH

• Triangle DEF

• Triangle ABC

• Triangle XYZ

What is the known length in triangle AGH?

• 2 cm

• 6 cm

• 8 cm

• 4 cm

Which additional triangle is used to find the length AH?

• Triangle AAH

• Triangle AAB

• Triangle AAH

• Triangle AAH

What is the formula used to calculate AH?

• AH = 6/2

• AH = 6^2 + 2^2

• AH = 6 + 2

• AH = 6 * 2

What is the value of AH squared?

• 20

• 16

• 40

• 36

What is the next step after finding AH to calculate AG?

• Recalculate AH

• Use AH in triangle AGH

• Ignore AH

• Use AH in a different triangle

What is the final calculated length of AG?

• 8.5 cm

• 7.5 cm

• 5.5 cm

• 6.5 cm

To how many decimal places is the length AG approximated?

• Three

• Two

• None

• One