x = 30
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, thus
scale factor (k) = =
= 6
hence x = 6 × 5 = 30
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
The correct option is B. 15
Therefore the value of x is
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.
Substituting the values we get
Therefore the value of x is