There are three points on a line: b, d, m, so that bd = 7 cm, md = 16 cm. find length of the segment bm . give all possible answers.

There are two possible cases:

       Then, Length of MD=Length of BM+Length of BD

                        16=Length of BM+7

                     Length of BM=16-7

                    Length of BM=9

     Then, Length of BM=Length of MD+Length of BD

                    Length of BM=16+7

                    Length of BM=23

All possible values of length of line segment BM is:

9 and 23

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step-by-step explanation:

because i said it is

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.