Mathematics

Mathematics

Problem

In

\Delta ABC

,

\angle B = 90^\circ

. Let

BD

be the altitude drawn from

B

to

AC

. Point

E

is taken on

AB

such that

DE \parallel AC

. Given

AB = 9\,\text{cm}

,

BC = 12\,\text{cm}

and

DE = 4\,\text{cm}

, calculate the length of

AC

and find the length of

BE

. a. (a) Calculate the length of

AC

. b. (b) Find the length of

BE

.

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