Grade 9 · Geometry
This quiz helps revise “Solving triangles” in Geometry for grade 9. It has 25 questions in five categories: Law of sines, Law of cosines, Area without height, Circles and triangles, Geometry in action. Questions get harder as the points go up, from 100 to 500.
The 100- and 200-point questions are open here. The rest show only their first words, and there are no answers: all of that is in the game itself.
A 5-centimeter side is opposite 30°, and the unknown side is opposite 90°. What is its length?
An 8-centimeter side is opposite 30°. Find the side opposite 60°, to the nearest tenth.
A 10-centimeter side is…
In the gameA 12-centimeter side is…
In the gameTwo angles are 38°…
In the gameTwo 5-centimeter sides include a 60° angle. What is the length of the third side?
Sides of 7 and 8 centimeters include a 60° angle. Find the third side to the nearest tenth.
Sides of 5 and…
In the gameA triangle has sides…
In the gameA triangle has sides…
In the game
Sides of 6 and 9 centimeters include a 30° angle. What is the area of the triangle?
A triangle has sides 5, 5, and 6 centimeters. What is its area using Heron's formula?
Sides of 7 and…
In the gameA triangle has sides…
In the gameA triangle has sides…
In the gameA 6-centimeter side is opposite a 30° angle. What is the circumradius?
A 12-centimeter side is opposite a 45° angle. Find the circumradius to the nearest tenth.
A right triangle has…
In the gameA triangle has sides…
In the gameAn isosceles triangle has…
In the game
Two roof-truss beams, 9 and 12 meters long, meet at 90°. What is the area of the triangular section?
Two park paths, 50 and 70 meters long, leave one point at 60°. How far apart are their ends, to the nearest tenth?
Shore points A and…
In the gameRoutes of 12 and…
In the gameA triangular plot has…
In the gameAll 25 questions and the answers are in the game. Invite your class or friends with a link — guests need no account.