Question

PLEASE HELPPPPPPPP MATHHHHHHHHHHHHH

Answer 1

Hello!

First you have to find the third side of the triangle using the Pythagorean Theorem


`4^(2) + 6^(2) = c^(2)`

Square the numbers


`16 + 36 = c^(2)`

Add


`52 = c^(2)`

Take the square root of both numbers


`√(52) = c`

Now we know all the numbers we need

To find the lateral area of a triangular prism you use the equation

Al = (a + b + c)h

Al is lateral area
a, b, c are the side lengths of the triangle
h is height

Put in the values we know


`Al = (4 + 6 + √(52) )8`

Combine like terms


`Al = (10 + √(52) )8`

Simplify the square root


`Al = 8(10 + 2 √(13) )`

Al = about 137.689

The answer is
`Al = 8(10 + 2 √(13) )` or 137.689

Hope this helps!