Atriangle with two acute angles must be a right triangle. true or false

False

Step-by-step explanation:

We are given that a triangle in which two acute  angles .

Then, the triangle must be a right triangle .

We have to find that it is true or false.

Acute angle: That angle whose measure  is less than 90 degrees.

Right triangle : That triangle in which one angle measure is equal to 90 degrees.

Let x, y and z are angles of a triangle

Suppose, we have x=70 degrees , y= 60 degrees

Then , (triangle angles sum property)

Hence, the triangle must not be right triangle in that case.

When x=y=45 degrees

Then ,

Hence, the triangle must be right triangle in that case.

Therefore, a triangle with acute angles must be right triangle is true when two acute angles measure are of 45 degrees each  not in  every case.

Hence, a triangle with two acute angles must not be a right triangle.

False