The figure shows two intersecting chord, thus this simply can be solved using the Intersecting Chord Theorem, which states that "<span>When two chords intersect each other inside a circle, the products of their segments are equal."
Thus,
(5mxn=15mx2m)
n=6m</span>
The area of each triangular face is
.. A = (1/2)*b*h
.. Aside = (1/2)*(6 cm)*(5 cm) = 15 cm^2
The area of the triangular base is
.. Abase = ((√3)/4)*s^2 = (√3)/4*(6 cm)^2 = 9√3 cm^2
The total surface area is the base area plus the area of the three sides.
.. Atotal = Abase + 3*Aside
.. = 9√3 cm^2 +3*15 cm^2
.. = (45 +9√3) cm^2
.. ≈ 60.6 cm^2
Actually, there's an error in the picture. The height of the side should be 4, and the length of the edge should be 5. Making that adjustment, the total area is 51.6 cm^2.
It is hard to tell what is intended. Not all answers are showing, so we can't "reverse-engineer" the problem from the answers.
3x - 9y = 9
-3x + 4y = -14
-5y = -5
y = 1
3x - 9(1) = 9
3x - 9 = 9
3x = 18
x = 6
So, the answer is (6, 1)
