# number theory

posted by .

According to the Journal of Irreproducible Results, any obtuse angle is a right angle! Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with DAB = x, and ABC = 90◦, andAD = BC. Say the perpendicular bisector toDC meets the perpendicular bisector to AB at P. ThenPA = PB andPC = PD. So the trianglesPADandPBC 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

• number theory -

So the trianglesPADandPBC have equal sides and are congruent ---> flawed

You have 2 sides of one equal to 2 sides of the other, but no angles equal, so you cannot say they are congruent. (You need either SAS )

Anything after that is bogus.

• number theory -

i like to eat A is in PDC nuggets

## Similar Questions

1. ### math

how do you name a obtuse angle when you are naming an angle just look for where the angle occurs and when writting it place it in the middle of the three points and draw a little triangle thingy over the top for eg. angle ABC would …
2. ### math

According to the Journal of Irreproducible Results, any obtuse angle is a right angle! Here is their argument.
3. ### math

According to the Journal of Irreproducible Results, any obtuse angle is a right angle! Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with  DAB = x, and  ABC = 90◦, andAD = BC. Say the perpendicular …
4. ### Math

According to the Journal of Irreproducible Results, any obtuse angle is a right angle! Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with  DAB = x, and  ABC = 90◦, andAD = BC. Say the perpendicular …
5. ### Geometry

Write an indirect proof that an obtuse triangle does not have a right angle. Given: Triangle RST is an obtuse triangle. Prove: Triangle RST does not have a right angle. Let angle S be an obtuse angle. Assume Triangle RST has a right …
6. ### geometry

obtuse triangle ABC with obtuse angle B. Point D on side AC such that angle BDC is also obtuse. Angle DAB is 2/3 of angle ABD. Angle BCD is 1/5 of angle CBD is 4 more than angle BAD. Find the measure of angle ABC.
7. ### Geometry

Given: obtuse triangle ABC with obtuse angle B. Point D on side AC such that angle BDC is also obtuse. Angle DAB is 2/3 of angle ABD. Angle BCD is 1/5 angle BDC and angle CBD is 4 more than angle BAD. What is the measure of angle ABC?
8. ### maths

According to the Journal of Irreproducible Results, any obtuse angle is a right angle! x A P B C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and …
9. ### maths

According to the Journal of Irreproducible Results, any obtuse angle is a right angle! x A P B C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and …
10. ### maths

According to the Journal of Irreproducible Results, any obtuse angle is a right angle! x A P B C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and …

More Similar Questions