Janet is buying fencing for a triangular flower garden she plans to build in her backyard. If the lengths of the three pieces of fencing are 12 feet, 9 feet, and 6 feet will the flower garden be in the shape of a right triangle? Explain​

The flower garden will not be in the shape of a right triangle

Step-by-step explanation:

If it was, the pythagorean theorem would have to work which means that

9² + 6² would have to equal 12² but it doesn't so the triangle will be an obtuse triangle instead.

0 is its x and y coordinate

< 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)