Question

In the figure (not to scale). AB perpendicular CD and AD is the bisector of angle BAE.
AB = 3 cm and AC = 5 cm. Find |CD-AC|​

Answer 1

Answer:

4

Step-by-step explanation:

firstly AC-AB

answer=2

CD:AC+2=7

CD-AC=7-3=4

Answer 2

CD -AC = 3 cm

Step-by-step explanation:

here ,

AB = 3 cm

AC = 5 cm

we have to find the CD-AC

therefore ,

since , AB is perpendicular to CD

i.e angle ABC = 90°

(right angle ) using the pythagoras theorem

we get

AC² = AB²+BC ²

5²= 3²+BC²

25- 9 = BC²

BC ²= 16

BC = √16

BC = 4 cm

now , BC = DB

i.e

CD = DB +BC = 4+4 = 8 cm

then CD - AC

= 8-5 = 3 cm

hence ,

CD -AC = 3 cm

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