In , . Let be the altitude drawn from to . Point is taken on such that . Given , and…

MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

\Delta ABC

\angle B = 90^\circ

. Let

BD

be the altitude drawn from

B

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) Calculate the length of

AC

. (b) Find the length of

BE