Triangles
Math ⇒ Geometry
Triangles starts at 6 and continues till grade 12.
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See sample questions for grade 9
A triangle has angles in the ratio 2:3:4. What are the measures of the angles?
A triangle has sides of length 5 cm, 5 cm, and 8 cm. What type of triangle is it based on its sides?
A triangle has sides of length 9 cm, 12 cm, and 15 cm. Calculate its area using Heron's formula.
A triangle has two equal angles of 70°. What is the measure of the third angle?
A triangle has two sides of length 7 cm and 10 cm. What is the range of possible lengths for the third side?
Explain why the sum of the angles in a triangle is always 180°.
If a triangle has angles measuring 90°, 60°, and 30°, what type of triangle is it?
If the area of a triangle is 24 cm² and its base is 8 cm, what is its height?
Which of the following is NOT a criterion for triangle congruence?
(1) SSS
(2) SAS
(3) AAA
(4) ASA
Which of the following is NOT a property of an isosceles triangle?
(1) It has two equal sides
(2) It has two equal angles
(3) All sides are equal
(4) The base angles are equal
Which of the following is NOT a type of triangle based on its sides?
(1) Equilateral
(2) Isosceles
(3) Scalene
(4) Right-angled
Which of the following is NOT always true for a triangle?
(1) The sum of its angles is 180°
(2) It has three sides
(3) It has three medians
(4) All sides are equal
Fill in the blank: A triangle with all sides of different lengths is called a ______ triangle.
Fill in the blank: The centroid of a triangle divides each median in the ratio ______.
Fill in the blank: The line segment joining a vertex of a triangle to the midpoint of the opposite side is called a ______.
Fill in the blank: The longest side of a right-angled triangle is called the ______.
A triangle has sides of lengths 6 cm, 8 cm, and 10 cm. Is this triangle a right-angled triangle?
If the sides of a triangle are 7 cm, 24 cm, and 25 cm, is the triangle right-angled?
If the sides of a triangle are 8 cm, 15 cm, and 17 cm, is the triangle right-angled?
True or False: An equilateral triangle is also an isosceles triangle.
