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 10

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

A triangle has sides of lengths 6 cm, 8 cm, and 10 cm. Find its area.

A triangle has two sides of lengths 8 cm and 15 cm. What is the range of possible lengths for the third side?

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).

Calculate the area of a triangle with base 10 cm and height 6 cm.

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?

If the area of a triangle is 20 cm² and its base is 5 cm, what is its height?

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 50° and 60°, what is the measure of the third angle?

State the ASA (Angle-Side-Angle) congruence criterion for triangles.

State the Pythagorean Theorem.

State the SSS (Side-Side-Side) congruence criterion for triangles.