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