Question

In triangle ABC, angle B=90 degree and BD is perpendicular to AC. IF AB=8cm, AD=4cm, find the length of CD.

Answer 1

Answer:

CD = 16

Step-by-step explanation:

By therom of geometric mean...

(AB)^2=AD x CD

64=4 x CD

CD =64/4

CD = 16

Answer 2

Answer:

CD= 12 cm

Step-by-step explanation:

△DBA ~ △DAB - AA similarity

∴ AB/AD = AC/AB - sides divided in same ratio

By cross multiplying,

AB²= AC × AD

8² = AC × 4

AC = 64/4

= 16 cm

AC = CD + AD

CD = AC - AD

= 16 - 4

= 12 cm

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