Incomplete Question the complete question with the figure is below
The triangles shown are similar.
What is the value of x?
A. 12
B. 15
C. 20
D. 13
Answer:
The correct option is B. 15
Therefore the value of x is
[tex]x=15\ unit[/tex]
Step-by-step explanation:
Given:
AB = 5
BC = 3
AC = 4
PQ = x
QR = 9
RP = 12
ΔABC ~ ΔPQR
To Find:
x = ?
Solution:
ΔABC ~ ΔPQR .................Given
If two triangles are similar then their sides are in proportion.
[tex]\dfrac{AB}{PQ} =\dfrac{BC}{QR}=\dfrac{AC}{PR} \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]
Substituting the values we get
[tex]\dfrac{5}{x} =\dfrac{3}{9}\\\\x=\dfrac{45}{3}=15\ unit[/tex]
Therefore the value of x is
[tex]x=15\ unit[/tex]
