Find the surface area of this triangular prism

315 in^2

Step-by-step explanation:

Triangles

Area of the two triangular faces.

Area = 1/2 * h * b

h = 7 in

b = 11 in

Area = 1/2 * 7 * 11

Area = 1/2 * 77

Area = 38.5

But there are 2 faces

Area = 38.5 * 2

Area = 77 in^2

Area Left Face

Area left face = height * width

Area left face = 14 * 8

Area left face = 112 in^2

Area Right face

Area Right face = w*h

w = 9

h = 14

Area = w*h

Area right face = 126 in^2

Total Area

Total Area = 126 + 112 + 77

Total Area = 315 in^2

just needed some points but try socratic

< 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)