Plzzz help me w/ these problems!!!?
2)The measurements of the sides of a triangle are consecutive even integers, and the perimeter of the triangle is 72 inches. Find the length of the sides and find the area of the triangle. Show all work.
3)Find the volume of a prism that has a height of 11.2 centimeters and an equilateral triangle for a base, where each base edge measures 8 centimeters. Show all work.
Favorite Answer
Therefore 10=sqrt(h^2+8^2)
100=h^2+64
36=h^2
h=6 inches
The volume is 1/2 * sqrt(3) * h * a^2
=1/2 * sqrt(3) * 6 * 8^2
=1/2 * sqrt(3) * 6 * 64
=192 * sqrt(3)
=332.6 cubic inches
2) Side 1 = x
Side 2 = x+2
Side 3 = x+2+2 = x+4
Therefore: x+(x+2)+(x+4)=72
3x+6=72
3x=66
x=22
Sides are 22, 24, and 26 inches
3) Volume = area of base * height
Area of equilateral triangle = s^2*sqrt(3)/4
Volume=(8^2*sqrt(3)/4) * 11.2
=(64*sqrt(3)/4) * 11.2
=16*sqrt(3)*11.2
=179.2*sqrt(3)
=310.4 cubic centimeters
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