The values of x and y are
1. x = 2.5 , y = 7
2. x = 12 , y = 20
3. x = 10
Similar triangles share congruent angles and have proportional side lengths. Corresponding angles are equal, and the ratios of corresponding sides remain constant.
a. x/5 = 3/6
6x = 15
x = 15/6
x = 2.5
y/3.5 = 6/3
3y = 21
y = 7
b. 8/10 = x/15
10x = 120
x = 120/10
x = 12
y/16 = 10/8
8y = 16 × 10
8y = 160
y = 20
C. 15/10 = 5+x/x
15x = 50 + 10x
5x = 50
x = 10