Triangles
Math ⇒ Geometry
Triangles starts at 6 and continues till grade 12.
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See sample questions for grade 12
A triangle has angles in the ratio 2:3:4. Find the measure of the largest angle.
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^\circ, regardless of the triangle's shape.
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.
If the sides of a triangle are 5 cm, 12 cm, and 13 cm, what type of triangle is it?
In triangle ABC, if angle A = 90^\circ, side AB = 6 cm, and side AC = 8 cm, find the length of side BC.
In triangle PQR, PQ = 8 cm, QR = 6 cm, and angle Q = 90^\circ. Find the length of PR.
In triangle XYZ, XY = 9 cm, YZ = 12 cm, and XZ = 15 cm. Is this triangle acute, right, or obtuse?
State the Cosine Rule for any triangle.
State the Sine Rule for any triangle.
State the Triangle Inequality Theorem.
Given a triangle with vertices at A(2,3), B(8,7), and C(5,11), find the equation of the median from vertex A.
In triangle PQR, the coordinates of P, Q, and R are (1,2), (4,6), and (7,2) respectively. Find the equation of the perpendicular bisector of side QR.
State and prove the Law of Tangents for a triangle.
