Question

given triangle UVW is congruent to triangle TSR find the values of x (12x-7), y (5y-33), and z (3z+14)

Answer 1

Answer:

Step-by-step explanation:

Find the image attached. For two triangles to be congruent, then the sides of UVW is equal to that of TSR

From the diagram given

TR = UW

Given

TR = 50

UW = 3z+14

Equate and find z;

3z+14 = 50

3z = 50-14

3z = 36

z = 36/3

z = 12

VW = RS

Given

VW = 27

RS = 5y - 33

Equate

5y-33 = 27

5y = 27+33

5y = 60

y = 60/5

y = 12

Also TS = UV

TS = 53

UV = 12x+7

Equate:

12x-7 = 53

12x = 53+7

12x = 60

x = 60/12

x = 5

Hence x = 5, y = 12 and z = 12