Mathematics

Question

! Geometry !


Read the following statements.

1. PQR is acute.
2. PQR is isosceles.
3. PQR is right.

Which two statements contradict each other?


2 and 3


None of the statements contradict each other.


1 and 2


1 and 3

2 Answer

  • 1 and 3 contradict each other

    An isosceles triangle has 3 acute angles.


    **ignore my comments I’m literally contradicting myself

  • Answer:

    1 and 3 are contradictory

    Step-by-step explanation:

    A triangle is acute if all angles are less than 90

    A triangle is isosceles if any two angles are congruent.

    A triangle is right if one of the angle is 90.

    Hence we see that a triangle is acute has all angles less than 90.

    So it cannot be simultaneously right triangle.

    Thus we find that 1 and 3 are contradictory.

    1 and 2 are not contradictory as two acute triangles can be equal and also third is acute.

    2 and 3 are not contradictory since when a right triangle has other two angles as 45, 45 then it is isosceles as well as right.

    Answer is 1 and 3 are contradictory.

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