in figure DE ll BC, AD=2cm BD=2.5cm AE=3.2cm determine AC.
Attachments:
Answers
Answered by
2
AD / AB = AE / AC { by basic proportionally theroum }
=> 2 / 4.5 = 3.2 / 3.2 + AC
=> 6.4 + 2AC = 4.5 * 3.2
=> 6.4 + 2AC = 1.44
=> 2AC =1.44 - 6.4
=> 2AC = 8
AC = 4
Answered by
2
Answer:
In Triangle ADE and ABC,
AD=2
BD=2.5
AE=3.2
DE ll BC,
∴∠ADE=∠ABC ( corresponding angles)
∠AED=∠ACB ( corresponding angles)
∠BAC is common
Δ ADE is similar to Δ ABC
In similar triangles , we know that ratio of corresponding sides are equal
∴ AB/AD=AC/AE
(AD+BD)/AD = AC/AE
(2+2.5)/2=AC/3.2
4.5/2=AC/3.2
( 4.5×3.2)/2= AC
7.2=AC
Hence the value of AC is 7.2
Attachments:
Similar questions