PLEASE HELPPPPPPPP MATHHHHHHHHHHHHH
Question
Answer:
Hello!First you have to find the third side of the triangle using the Pythagorean Theorem
[tex] 4^{2} + 6^{2} = c^{2} [/tex]
Square the numbers
[tex]16 + 36 = c^{2} [/tex]
Add
[tex]52 = c^{2} [/tex]
Take the square root of both numbers
[tex] \sqrt{52} = c[/tex]
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
[tex]Al = (4 + 6 + \sqrt{52} )8[/tex]
Combine like terms
[tex]Al = (10 + \sqrt{52} )8[/tex]
Simplify the square root
[tex]Al = 8(10 + 2 \sqrt{13} )[/tex]
Al = about 137.689
The answer is [tex]Al = 8(10 + 2 \sqrt{13} )[/tex] or 137.689
Hope this helps!
solved
general
10 months ago
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