Question

If angleACB=angleCDA, AC=8cm and AD=3cm find BD

Answer 1

using phythagoras theorem = Hsquare =PSquare+Square

Answer 2

Answer: 18.33 cm

Explanation:

Given - <ACB = <CDA

             AC = 8cm

             AD = 3cm

To find - BD

SOLUTION

In ΔABC and ΔCDA,

                    <CDA = <ACB

                    <CAD = <CAB

             ∴ ΔACB  SIMILAR TO ΔADC

                     ⇒ AC/AD = CB/CD = AB/AC

                         ∴ AC/AD = AB/AC

                             8/3 = AB/8

             By transposition,

                             64/3 = AB

                               

                                   ∴ AB = 18.33 cm

Hope this helps you !