Triangles and Angles: Classifying and Solving Challenges

A triangle has sides measuring 5 cm, 5 cm, and 8 cm. What type of triangle is it based on its sides?

• Equilateral triangle

• Right triangle

• Isosceles triangle

• Scalene triangle

In a park, a triangular flower bed has sides of 10 m, 10 m, and 14 m. Classify this triangle by its sides.

• Isosceles triangle

• Equilateral triangle

• Scalene triangle

• Right triangle

A triangle has one angle measuring 90 degrees and the other two angles are equal. What type of triangle is this?

• Obtuse triangle

• Scalene triangle

• Equilateral triangle

• Isosceles right triangle

A ladder leans against a wall, forming a right triangle with the ground. If the ladder is 12 feet long and the base is 9 feet from the wall, how high up the wall does the ladder reach?

• 7.94 feet

• 8.5 feet

• 10 feet

• 6.5 feet

A triangular piece of land has sides of 7 m, 24 m, and 25 m. Is this triangle a right triangle?

• No, this triangle is an isosceles triangle.

• Yes, this triangle is an equilateral triangle.

• No, this triangle is not a right triangle.

• Yes, this triangle is a right triangle.

A triangle has angles measuring 30 degrees, 60 degrees, and 90 degrees. What type of triangle is it based on its angles?

• Equilateral triangle

• Acute triangle

• Obtuse triangle

• Right triangle

In a triangle, one angle measures 40 degrees and the other measures 70 degrees. What is the measure of the third angle?

• 80 degrees

• 90 degrees

• 60 degrees

• 70 degrees

A triangular sign has a base of 6 feet and a height of 4 feet. What is the area of the sign?

• 12 square feet

• 15 square feet

• 8 square feet

• 10 square feet

A triangle has sides of lengths 3 cm, 4 cm, and 5 cm. What type of triangle is it based on its sides?

• scalene triangle

• equilateral triangle

• isosceles triangle

• right triangle

A triangular garden has a perimeter of 30 m. If one side is 10 m and the second side is 12 m, what is the length of the third side?

• 6 m

• 11 m

• 9 m

• 8 m