Question

Please solve the picture

Answer 1

Triangle RTU : 60

Triangle RSV: 25

Explanation:

Since the two triangles are congruent, setup a proportion. First find the length of the left side of triangle RTU by adding.

20 + 28 = 48

Now setup the proportion.

`(48)/(20)=(7x-3)/(3x-2)`

Simplify 48 and 20.

`(12)/(5)=(7x-3)/(3x-2)`

Cross multiply then solve for x.

36x - 24 = 35x - 15

36x - 35x - 24 = 35x - 35x - 15

x - 24 = -15

x - 24 + 24 = -15 + 24

x = 9

Now solve for the missing side of triangle RTU by substituting in for x.

7x - 3

7(9) - 3

63 - 3

60

Now solve for the missing side of triangle RSV by substituting in for x.

3x - 2

3(9) - 2

27 - 2

25