Question

What values of b and c make ADEF AWVU?

U
46-9
v
D
5b+36
F
12b-
34
3c
E
w
b =

Answer 1

b = 10, c = 9

Explanation:

For the triangles to be congruent by the HL postulate, then

UW = DF ( hypotenuse are congruent ), that is

12b - 34 = 5b + 36 ( subtract 5b from both sides )

7b 0 34 = 36 ( add 34 to both sides )

7b = 70 ( divide both sides by 7 )

b = 10

and

UV = EF ( legs are congruent )

4c - 9 = 3c ( subtract 3c from both sides )

c - 9 = 0 ( add 9 to both sides )

c = 9