Of course. "Acute" means that all angles are less than 90 degrees, and "scalene" means that none of its sides or angles match. Draw an equilaterial triangle and then nudge one point slightly, on a path which is parallel to the opposite side. Acute scalene triangle.
Yes providing its other two acute angles are of different sizes
Scalene means the triangle has 3 sides unequal length. Acute means the triangle has 3 acute angles (less than 90o). So you should be able to draw a scalene acute triangle pretty easily. An equilateral triangle has all sides the same length and all angles are 60o. If you stretch one side a little, and shrink another side a little you will have a scalene triangle. And as long as you haven't stretched or shrunk the sides too far, it will also still be acute.
By constructing a triangle whose 3 sides are of different lengths and its 3 interior acute angles have different sizes
Yes!!
Yes to both
Of course. "Acute" means that all angles are less than 90 degrees, and "scalene" means that none of its sides or angles match. Draw an equilaterial triangle and then nudge one point slightly, on a path which is parallel to the opposite side. Acute scalene triangle.
Yes providing its other two acute angles are of different sizes
yes
Scalene means the triangle has 3 sides unequal length. Acute means the triangle has 3 acute angles (less than 90o). So you should be able to draw a scalene acute triangle pretty easily. An equilateral triangle has all sides the same length and all angles are 60o. If you stretch one side a little, and shrink another side a little you will have a scalene triangle. And as long as you haven't stretched or shrunk the sides too far, it will also still be acute.
Yes, because an equilateral triangle is always acute.
By constructing a triangle whose 3 sides are of different lengths and its 3 interior acute angles have different sizes
By constructing a triangle whose 3 sides are of different lengths and its 3 interior acute angles have different sizes
A scalene triangle will have 3 sides of different lengths and 3 interior acute angles of different sizes that add up to 180 degrees
no
Yes!!
You cannot. An isosceles triangle cannot be scalene and a scalene triangle cannot be isosceles. So an isosceles scalene triangle cannot exist.