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 11

A triangle has angles in the ratio 2:3:4. Find the measure of each angle.

A triangle has sides of length 5 cm, 12 cm, and 13 cm. Find the area of the triangle.

A triangle has two equal sides and one different side. What type of triangle is this?

Describe the conditions under which two triangles are congruent by the Side-Angle-Side (SAS) criterion.

Explain the difference between congruent and similar triangles.

Explain why the sum of the exterior angles of any triangle is always 360 degrees.

Given a triangle with sides 6 cm, 8 cm, and 10 cm, use Heron's formula to find its area.

Given a triangle with vertices at A(0,0), B(4,0), and C(0,3), calculate the length of side BC.

If the area of an equilateral triangle is 16√3 cm², what is the length of each side? (Give your answer to 2 decimal places.)

If the base of a triangle is 10 cm and the height is 6 cm, what is its area?

If the coordinates of the vertices of a triangle are A(1,2), B(4,6), and C(7,2), calculate the area of the triangle.

If the perimeter of an equilateral triangle is 21 cm, what is the length of each side?

If the sides of a triangle are 13 cm, 14 cm, and 15 cm, find its area using Heron's formula.

If two angles of a triangle are 45° and 55°, what is the third angle?

In a triangle, if two sides are 7 cm and 10 cm, and the included angle is 60°, calculate the area of the triangle. (Give your answer to 2 decimal places.)

State the Cosine Rule for any triangle.

State the Sine Rule for any triangle.