What is the perimeter of the isosceles triangle shown below? If necessary, round to the nearest hundredth. A.
32 units
B.
15 units
C.
24 units
D.
16.5 units

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?

Which function is odd check all that apply a. y=sin x b. y=csc x c. y=cot x d. y=sec x

The longer leg of a 30° 60° 90° triangle is 16 times square root of three how long is a shorter leg