Question

In the triangle, find x, y, u, v

Answer 1

x=9 units, y=12 units, u=24 units and v=32 units

Step-by-step explanation:

The question is on similarity.

The ratio of corresponding sides should be equal for the triangles to be similar.

Finding x

20/5=(3+x )/3

apply cross product

60=15+5x

60-15=5x

45=5x

45/5=x

9=x

Finding y

20/5=(4+y)/4

Apply cross product

80=20+5y

80-20=5y

60=5y

60/5 =y

12=y

Finding u after replacing values of x and y

60/20 = (12+u)/12

perform cross product

720=240 +20 u

720-240 =20u

480 =20 u

480/20 =u

24 =u

Finding v after replacing values of x and y

60/20 = (16+v)/16

perform cross product

960=320+20v

960-320 = 20v

640=20v

640/20 =v

32= v

Learn More

Ratio of sides in similar triangles :brainly.com/question/11717086

Keywords ; triangle, find, x,y,u,v

#LearnwithBrainly