Question

Which of the following can represent the measures of the three angles in an acute triangle?

the sign * means I chose that as an answer
A: 59,61,62*

B: 30,25,125

C: 56,72,52

D: 90,45,45

Answer 1

C: 56,72,52

Explanation:

we know that

An acute triangle is a triangle with three angles less than 90°

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

Verify each case

case A) The three measures are less than 90 degrees but the sum is not equal to 180 degrees (is not a triangle)

case B) The three measures are not less than 90 degrees

case C) The three measures represent an acute triangle ( the three measures are less than 90 degrees and the sum is equal to 180 degrees)

case D) The three measures are not less than 90 degrees. This triangle represent a right triangle