Question

PLEASE HELPP … Find the measure of BD .

Answer 1

BD = 8.5 units

Explanation:

From the figure attached,

ΔABC and ΔADB are the right triangles.

By applying mean proportional theorem,

`\frac{\text{AD}}{\text{BD}}=\frac{\text{BD}}{\text{CD}}`

BD² = AD × CD

BD² = 6 × 12

BD = √72

BD = 6√2

= 8.485

BD ≈ 8.5 units

Therefore, measure of segment BD will be 8.5 units.