Answer:
The value of x is 4 .
Step-by-step explanation:
As given in the question triangles are similar .
Now by using the property .
As triangle are similar than their corresponding sides ratios are equal .
[tex]\frac{Perpendicular\ of\ larger\ triangle}{Base\ of\ larger\ triangle} = \frac{Perpendicular\ of\ smaller\ triangle}{Base\ of\ smaller\ triangle}[/tex]
Perpendicular of the larger triangle = 3x + 8
Base of the larger triangle = 15
Perpendicular of the smaller triangle = 4
Base of the smaller triangle = 3
Putting in the above
[tex]\frac{3x+8}{15} = \frac{4}{3}[/tex]
Simplify the above
(3x + 8 ) × 3 = 15 × 4
9x + 24 = 60
9x = 60 - 24
9x = 36
[tex]x = \frac{36}{9}[/tex]
x = 4
Therefore the value of x is 4 .
