Instructions
Complete the following exercises related to geometry. Show your work where applicable.
1. Area of a Triangle
Calculate the area of a triangle with a base of 10 cm and a height of 5 cm.
2. Pythagorean Theorem
In a right triangle, one leg is 6 cm long, and the other leg is 8 cm long. Find the length of the hypotenuse.
3. Angles in a Triangle
The angles in a triangle are in the ratio 2:3:4. Find the measure of each angle.
4. Circumference of a Circle
Calculate the circumference of a circle with a radius of 7 cm. Use π ≈ 3.14.
5. Volume of a Cylinder
Find the volume of a cylinder with a radius of 3 cm and a height of 10 cm. Use the formula V = πr²h.
6. Word Problem
A rectangular garden is 12 meters long and 5 meters wide. A path that is 1 meter wide surrounds the garden. What is the area of the path?
7. Reflection
Write a short paragraph about how geometry is useful in real life.