Question

PLEASE HURRY GIVEN THAT DAE ~ BAC, THE LENGTH OF SIDE AE IS ?

Answer 1

AE = 12

Explanation:

`\triangle DAE \sim\triangle BAC.... (given) \\</p><p>\therefore (AD)/(AB) = (AE)/(AC).. (csst) \\\\</p><p>\therefore (6)/(6+4) = (x)/(x+8) \\\\ </p><p>\therefore (6)/(10) = (x)/(x+8) \\\\ </p><p>\therefore (3)/(5) = (x)/(x+8) \\\\ </p><p>\therefore 3(x+8) = 5x\\\\</p><p>3x + 24 = 5x \\\\</p><p>24= 5x - 3x \\\\</p><p>24= 2x \\ \\ x = (24)/(2) \\ \\ x = 12 \\ \\ </p><p> \because \: AE = x \\ \\ \huge \red{ \boxed{\therefore \: \: AE = 12}}`