Exploring Triangles and Their Properties

What type of triangle has all sides of different lengths?

• Isosceles triangle

• Equilateral triangle

• Right triangle

• Scalene triangle

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what type of triangle is it?

• equilateral triangle

• isosceles triangle

• scalene triangle

• right triangle

Using the Pythagorean theorem, find the length of the hypotenuse of a right triangle with legs of 6 cm and 8 cm.

• 12 cm

• 7 cm

• 10 cm

• 9 cm

What is the sum of the interior angles of a triangle?

• 180 degrees

• 120 degrees

• 360 degrees

• 90 degrees

If one angle of a triangle is 90 degrees, what type of triangle is it?

• Scalene triangle

• Right triangle

• Obtuse triangle

• Acute triangle

Calculate the area of a triangle with a base of 12 cm and a height of 9 cm.

• 36 cm²

• 108 cm²

• 72 cm²

• 54 cm²

If a triangle has angles measuring 30 degrees and 60 degrees, what is the measure of the third angle?

• 90 degrees

• 75 degrees

• 45 degrees

• 120 degrees

What is the exterior angle of a triangle if one of the interior angles is 50 degrees?

• 100 degrees

• 130 degrees

• 150 degrees

• 90 degrees

Identify the type of triangle with angles measuring 45 degrees, 45 degrees, and 90 degrees.

• Scalene triangle

• Isosceles right triangle

• Equilateral triangle

• Acute triangle

If the lengths of two sides of a triangle are 7 cm and 10 cm, what is the range of possible lengths for the third side?

• (15, 20)

• (10, 12)

• (3, 17)

• (1, 5)