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# Classification of Triangles

Can a scalene triangle be obtuse? Is an equilateral triangle always acute?

# Classification of Triangles: Level 2 Challenges

Two sides of a triangle measures $$10\text{ cm}$$ and $$6\text{ cm}$$ and the angle in between them measures $$120^\circ$$. What is the measure of the third side (in $$\text{cm}$$)?

A triangle has a $$60^\circ$$ angle. If two of its sides are $$1\text{ m}$$ long, how many different triangles can one draw which fit these measurements?

A square and an equilateral triangle have the same perimeter. If the area of the triangle is $$16 \sqrt{3}$$, what is the area of the square?

If the sides of a non-degenerate triangle are $$a,b,\sqrt{a^2+b^2+ab}$$, then find the measure of the greatest interior angle of this triangle (in degrees).

The length of two sides of an isosceles triangle are 5 units and 16 units. What is the perimeter of the triangle (in units)?

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