Question

Plz help NO LINKS plz

Answer 1

Answer:

Use similarity and congruency of triangles to solve this question.

Step 1: Prove that Triangle ABC and Triangle ADE are similar

Angle ABC = Angle ADE (given)

Angle ACB = Angle AED (given)

Thus, Triangle ABC is similar to Triangle ADE (two pairs of corr. angles)

Step 2: Map out the ratios of the sides of the triangles

Since Triangle ABC is similar to Triangle ADE,

$\frac{DE}{BC} = \frac{AD}{AB} = \frac{AE}{AC}$

$\frac{25}{5} = \frac{AD}{3} = \frac{AE}{4}$ = 5

Hence,

AD (y) = 5×3 = 15

AE (x) = 5×4 = 20