A triangular prism is a prism which has both of its base sides as a rectangle. The length of side AB is 5/(√2) cm.
Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.
Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.
The area of AEDC is 25 cm². Therefore,
AEDC = AC²
25 cm² = AC²
AC = 5 cm
In ΔABC,
AB² + BC² = AC²
Since AB=BC,
2(AB²) = AC²
AB² = 25/2
AB = 5/√2 cm
Hence, the length of side AB is 5/(√2) cm.
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