1. If triangles EIO = UAN, EI = 3x-4, IO = 2x+5, UA = 2x+3 and UN = 3x+1, solve for the value of x, find the perimeter of triangle UAN and identify the smallest angle in triangle EIO.

Question

2. If triangle FAT is equal to triangle GRC, FA = 24cm and the ratio of GR, RC and GC is 2:1:3, respectively, find the perimeter of triangle FAT, GC and AT.

Answer 1

since the triangle are congruent, we know that

EI=UA, so 3x-4 = 2x+3; x=7

Now you can find all the sides, and so on.

For the other, you have

FA = GR = 24
So,

GR:RC:GC = 2:1:3 = 24:12:36
and now you can go on.