Hello!
I need some help with being able to find the Lateral Area of a Triangular Prism (it looks to be a right-triangular prism)
If I screenshot the question, can someone walk me through the process step-by-step please?

Question

Hello! 
I need some help with being able to find the Lateral Area of a Triangular Prism (it looks to be a right-triangular prism) 
If I screenshot the question, can someone walk me through the process step-by-step please?

mathstudent55 · Answer

I can try.

anonymous · Answer

Thank you!! 
I've been stuck on this for a while, and I just can't seem to figure it out.

anonymous · Answer

There's six slots that I have to fill

mathstudent55 · Answer

There are 5 faces.
There are two congruent triangular bases, and 3 different rectangular faces.

The lateral are is made up of the three rectangular faces.

anonymous · Answer

How would I set the first step up?
Would it look something like this?: 
L.A.= (8+4+6) x 2 = 36

mathstudent55 · Answer

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mathstudent55 · Answer

The triangular bases are right triangles with legs of 4 ft and 6 ft. You need to find the third, side, the hypotenuse. You can use the Pythagorean theorem for that.

The lateral area is (x + 6 ft + 4 ft) x 8 ft,
but we need x, the length of the hypotenuse of the base.

mathstudent55 · Answer

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