Question

What is the value of x in a & b?

Answer 1

a. x = 9

b. x = 3.6

Explanation:

a. By Basic proportionality theorem:

AB/BD = AC/CE

4/4 = x/9

1 = x/9

9 = x

x = 9

b.

`In \: \triangle ABC \: \& \: \triangle EDF\\</p><p>\angle B \cong \angle D....(given) \\</p><p>\angle C \cong \angle F.....(given) \\</p><p>\therefore \triangle ABC \: \sim \: \triangle EDF.. (AA\: POSTULATE) \\</p><p>\therefore (AB)/(ED) = (BC)/(DF) ...(csst) \\</p><p>\therefore (2)/(5) = (x)/(9)\\</p><p>\therefore x = (2* 9)/(5) \\</p><p>\therefore x = (18)/(5) \\</p><p>\huge \red{\boxed {\therefore x = 3.6}} \\`