Question

the diagram shows a cuboid. CG=2.5m, HG=3m, and EH=5m. Find the length of BH​

Answer 1

To find the length of BH, we need to use the Pythagorean theorem on the right triangle BCG:

BC² + CG² = BG²

Since the cuboid has opposite faces congruent, we know that BG = HE = 5m. Substituting in the values we have:

BC² + 2.5² = 5²

BC² + 6.25 = 25

BC² = 18.75

BC ≈ 4.33m

Therefore, the length of BH is approximately 4.33 meters.