subject

Triangles

Math ⇒ Geometry

Triangles starts at 6 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Triangles. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 12
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).
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.
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.
If the sides of a triangle are 13 cm, 14 cm, and 15 cm, calculate its area using Heron's formula.
If the sides of a triangle are 5 cm, 12 cm, and 13 cm, what type of triangle is it?
If the vertices of a triangle are A(1,2), B(4,6), and C(7,2), find the length of side AB.
In triangle ABC, if angle A = 90°, 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°. 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 sides 8 cm, 15 cm, and 17 cm, calculate the length of the altitude from the vertex opposite the longest side to the longest side.
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 ABC, AB = 13 cm, AC = 15 cm, and BC = 14 cm. Find the radius of the inscribed circle (inradius) to two decimal places.
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.