Find the length of side BD round your answer to the nearest hundred

The length of side BD is 4.62 units to the nearest hundredth

Step-by-step explanation:

In Δ ABC

∵ m∠ABC = 90°

∵ BD ⊥ AC

∴ AB × BC = BD × AC

∵ AB = 12 units

∵ BC = 5 units

∵ AC = 13 units

→ Substitute them in the equation above

∴ 12 × 5 = BD × 13

∴ 60 = 13 BD

→ Divide both sides by 13 to find BD

∴ 4.615384615 = BD

→ Round it to the nearest hundredth

∴ BD = 4.62 units

∴ The length of side BD is 4.62 units to the nearest hundredth

207/8 is the right

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)