Question

Read the following statements.
1. Triangle PQR is acute
2. Triangle PQR is isosceles
3. Triangle PQR is right

Which two statements contradict each other?

A. 2 and 3
B. None of the statements contradict each other
C. 1 and 3
D. 1 and 2

Answer 1

acute triangle means all 3 angles in the triangle are less than 90 degrees

what does
right triangle mean ?

Answer 2

right triangle means only 90 degrees not more not less.

Answer 3

right triangle means 1 of the angles is 90 (and the other 2 angles are less than 90)

Answer 4

and an isosceles triangle is a triangle that has two sides of equal length

Answer 5

yes.

now think about it:
acute: all 3 angles less than 90
right: 1 angle is 90

Answer 6

So 1 and 3 contradict?

Answer 7

that would be my guess.

Answer 8

yes 1 and 3 contradict. You can't have all 3 angles less than 90 and at the same time have one of the angles be 90. Can't happen