Question

The points B, C D and Eall lie on the same line segment, in that order, such that the

Answer 1

Answer:

BD = 9

Step-by-step explanation:

Since, the points B, C D and E all lie on the same line segment, in that order, such that the

ratio of BC:CD: DE is equal to 1:2:2. If BE = 15

Let BC = x, CD = 2x, DE = 2x

$\because BC+CD+ DE= BE\\\\\therefore x + 2x + 2x = 15..(\because BE =15)\\\\\therefore 5x = 15\\\\\therefore x = \frac{15}{5}\\\\\therefore x = 3\\\\\because BD = BC + CD\\\|\therefore BD = x + 2x \\\\\therefore BD = 3x\\\\\therefore BD = 3\times 3\\\\\huge \orange {\boxed {\therefore BD = 9}}$