Geometry

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.

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.

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  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.

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