Triangles
Math ⇒ Geometry
Triangles starts at 6 and continues till grade 12.
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See sample questions for grade 10
A triangle has two sides of lengths 8 cm and 15 cm. What is the range of possible lengths for the third side?
Explain the difference between a median and an altitude of a triangle.
Explain the difference between congruent and similar triangles.
Explain why the sum of the exterior angles of any triangle is always 360°.
If a triangle has sides of lengths 7 cm, 24 cm, and 25 cm, what type of triangle is it?
State the ASA (Angle-Side-Angle) congruence criterion for triangles.
A triangle has vertices at (0,0), (4,0), and (0,3). Calculate its area.
A triangle has vertices at (1,2), (4,6), and (7,2). Find the length of the base between (1,2) and (7,2).
Which of the following is a property of an isosceles triangle?
(1) All sides are equal
(2) Two sides are equal
(3) All angles are equal
(4) No sides are equal
Which of the following is always true for an equilateral triangle?
(1) All angles are 60°
(2) All sides are equal
(3) It is also isosceles
(4) All of the above
Which of the following is NOT a criterion for triangle congruence?
(1) SSS
(2) SAS
(3) ASA
(4) SSA
Which of the following is NOT a property of all triangles?
(1) The sum of the interior angles is 180°.
(2) The sum of the exterior angles is 360°.
(3) All sides are equal.
(4) The area can be calculated using base and height.
A triangle has angles measuring 40°, 60°, and ____. Fill in the blank.
The area of an equilateral triangle with side length a is ______.
The circumcenter of a triangle is equidistant from the ______.
The incenter of a triangle is the point where the ______ meet.
A triangle has sides 9 cm, 12 cm, and 15 cm. Is it a right-angled triangle?
If the sides of a triangle are 5 cm, 12 cm, and 13 cm, is the triangle right-angled?
If two triangles have two pairs of equal angles, are the triangles necessarily similar?
True or False: An equilateral triangle is always also an isosceles triangle.
