! 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 t
Mathematics
smmuhammad2018
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
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. User Answers Anonym
1 and 3 contradict each other
An isosceles triangle has 3 acute angles.
**ignore my comments I’m literally contradicting myself

2. User Answers AlonsoDehner
Answer:
1 and 3 are contradictory
Stepbystep 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.