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Last updated date: 02nd Dec 2023
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In each of the following state if the statement is true or false:Every acute triangle is equilateral.

Hint: Before answering this question let us see what an equilateral triangle is and what is the meaning of an acute angle. As we know, a triangle in which all sides, angles and vertex are equal are called equilateral triangles.It is also known as equiangular triangle because all of its angles are equal to ${60^ \circ }$ .
We know that an acute angle is a kind of angle that measures between $0$ to ${90^ \circ }$ or we can say that an angle whose measure is less than ${90^ \circ }$ is known as acute angle. Such angles are ${45^ \circ },{30^ \circ },{60^ \circ }...$ and so on.
Now from the above definition we can see that an equilateral triangle has to be the angle of ${60^ \circ }$ . It cannot be less than that of acute angles.
Note: We should note that each acute triangle is not an equilateral triangle but each equilateral triangle is an acute triangle. So we can say that a triangle in which all the three angles measures less than ${90^ \circ }$ is called an acute triangle with non-identical sides and measures. And the sum of all the angles is always equal to ${180^ \circ }$ .