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28 sq. cm.

Step-by-step explanation:

A = 1/2 (a + b) (h)

A = 1/2 x 14 x 4

A = 28 sq. cm.

   Area is 23 cm²

Step-by-step explanation:

Data:    

       a = 6 cm

.       b = 8 cm

       h = 4 cm

Formula    for area

      A = 1/2 (a+b)h  

         = 1/2 (6+8)4

         = 1/2 (14)4

         = 1/2×56 = 23 cm

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)