Triangles
Math ⇒ Geometry
Triangles starts at 6 and continues till grade 12.
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See sample questions for grade 12
Explain the difference between an isosceles and a scalene triangle.
Explain why the sum of any two angles in a triangle is always less than 180°.
Explain why the sum of the exterior angles of a triangle is always 360°, regardless of the triangle's shape.
State the Cosine Rule for any triangle.
A triangle has angles in the ratio 2:3:4. Find the measure of the largest angle.
A triangle has two sides of lengths 7 cm and 10 cm, and the included angle is 45°. Find the area of the triangle (to 2 decimal places).
If the area of an equilateral triangle is 16√3 cm², find the length of its side.
If the coordinates of the vertices of a triangle are A(0,0), B(4,0), and C(0,3), find the area of the triangle.
Which of the following is NOT a criterion for triangle similarity?
(1) AA
(2) SAS
(3) SSS
(4) SSA
Which of the following is NOT a property of an equilateral triangle?
(1) All sides are equal
(2) All angles are equal
(3) It has one right angle
(4) Each angle measures 60°
Which of the following is the correct formula for the area of a triangle given two sides and the included angle?
(1) 1/2 ab sinC
(2) ab cosC
(3) 1/2 ab cosC
(4) ab sinC
Which of the following sets of numbers can be the lengths of the sides of a triangle?
(1) 2, 3, 5
(2) 4, 5, 6
(3) 1, 2, 4
(4) 7, 10, 18
The area of a triangle with base 12 cm and height 5 cm is ______ cm².
The circumcenter of a triangle is the point where the ______ of the sides meet.
The incenter of a triangle is the point of intersection of the ______.
The sum of the interior angles of any triangle is ______ degrees.
If a triangle has sides of lengths 7 cm, 24 cm, and 25 cm, is it a right triangle?
True or False: The centroid divides each median in the ratio 2:1.
True or False: The medians of a triangle always intersect at a single point called the centroid.
True or False: The sum of the exterior angles of any triangle is always 360°.
