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Can an acute isosceles triangle have 2 angles that measure 40 degrees?

Answer 1

Theodore Abad

#color(blue)("No")#

By definition an acute triangle's angles are all less the #90^@#

Since the sum of all the angles is #180^@#, we have:

#40^@+40^@+theta^@=180^@#

#theta^@=100^@#.

So the third angle is greater than #90^@#. This means the triangle is obtuse, not acute.

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Answer 2

Evelyn Arboleda

No, an acute isosceles triangle cannot have two angles that measure 40 degrees. In an isosceles triangle, the two equal angles must be greater than the third angle. Since the sum of the angles in any triangle is 180 degrees, and an acute triangle has all angles less than 90 degrees, having two angles of 40 degrees each would make the third angle less than 100 degrees, violating the condition for an acute triangle.

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Answer from HIX Tutor

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