Triangles
Math ⇒ Geometry
Triangles starts at 6 and continues till grade 12.
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See sample questions for grade 7
A triangle has angles measuring 60°, 60°, and 60°. What type of triangle is this?
A triangle has sides of lengths 5 cm, 5 cm, and 8 cm. What type of triangle is it based on its sides?
A triangle has sides of lengths 6 cm, 8 cm, and 10 cm. Find its area.
A triangle has two angles measuring 50° and 60°. What is the measure of the third angle?
Calculate the missing angle in a triangle if two angles are 35° and 65°.
Describe the difference between an acute triangle and an obtuse triangle.
Describe what is meant by the altitude of a triangle.
Explain why a triangle cannot have more than one right angle.
Explain why the sum of the interior angles of a triangle is always 180 degrees.
If a triangle has angles measuring 30°, 60°, and 90°, what is the type of triangle based on its angles?
If one angle of a triangle is 90°, what is this triangle called?
If the base of a triangle is 12 cm and the area is 36 cm², what is the height?
If the sides of a triangle are 13 cm, 14 cm, and 15 cm, what is its perimeter?
What is the area of a triangle with a base of 10 cm and a height of 6 cm?
What is the name of a triangle that has all sides of different lengths?
A triangle has one angle measuring 2x°, another angle measuring (3x + 10)°, and the third angle measuring (x - 20)°. Find the value of x.
A triangle has two sides measuring 9 cm and 12 cm. What is the range of possible lengths for the third side?
A triangle has vertices at the points (2, 3), (6, 3), and (2, 8). Calculate the area of the triangle.
Explain how you can determine if three given lengths can form a triangle.
Given a triangle with side lengths 7 cm, 10 cm, and 12 cm, use Heron's formula to calculate its area. (Give your answer to two decimal places.)
