Answer:
x = 3, y = 6
Step-by-step explanation:
In the figure attached,
If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.
By this property,




3x = 2x + 3
3x - 2x = 3
x = 3
Similarly, 

y = 
y = 6
Answer:
12
Step-by-step explanation:
144 divided by 2 72
72 by 2 36
36 by 2 18
18 by 2 9
3by 3 3
3 by3 1
2x2 2x2 2x2 3x3
pick on from each set
2x2x3
12
Answer:
QR = 17 cm
Step-by-step explanation:
Δ RST is a 5- 12- 13 triangle with hypotenuse RT = 13 cm , then
TS = 5 cm and PT = 2 × 5 = 10 cm
So PS = 10 + 5 = 15 cm
PS is parallel to the vertical line from vertex Q and intersects the horizontal line projected from SR of length 20 - 12 = 8 cm
Using the right triangle formed calculate QR using Pythagoras' identity
QR² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )
QR =
= 17