Classification of Triangles

Classification of Triangles: Level 2 Challenges


Two sides of a triangle measures 10 cm10\text{ cm} and 6 cm6\text{ cm} and the angle in between them measures 120120^\circ. What is the measure of the third side (in cm\text{cm})?

A triangle has a 6060^\circ angle. If two of its sides are 1 m1\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 16316 \sqrt{3}, what is the area of the square?

If the sides of a non-degenerate triangle are a,b,a2+b2+aba,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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