You have two right triangles that are similar. The base of the first is 8 and the height is 12.
If the base of the second triangle is 22, what is the height of the second triangle?
A. 33 units
B. 26 units
C. 14.7 units
D. 4.4 units

Respuesta :

Let the height be x

[tex]\\ \sf\longmapsto \dfrac{8}{12}=\dfrac{22}{x}[/tex]

[tex]\\ \sf\longmapsto 12x=22(8)[/tex]

[tex]\\ \sf\longmapsto 12x=176[/tex]

[tex]\\ \sf\longmapsto x=14.7units[/tex]

Step-by-step explanation:

  • X :

8/12 = 22/x

x • 12 = 22 • 8

12x = 176

x = 14.7units (C.)