Mathematics, 22.09.2021 21:10 rileychas4114
Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the
corresponding face of the other prism.
How are the surface areas of the figures related?
O The surface areas are the same.
O The surface area of the larger prism is 2 times the surface area of the smaller prism.
O The surface area of the larger prism is 4 times the surface area of the smaller prism.
O The surface area of the larger prism is 8 times the surface area of the smaller prism.
Answers: 2
Mathematics, 20.06.2019 18:04
Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?
Answers: 2
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