# Free IMSA Basic Questions and Answers

#### In a right triangle, what is the length of the hypotenuse if the legs are 6 cm and 8 cm?

The hypotenuse can be found using the Pythagorean theorem: √(6^2 + 8^2) = √(36 + 64) = √100 = 10 cm.

#### Which of the following is the formula for the area of a circle?

The area of a circle is calculated using the formula πr^2, where r is the radius.

#### What is the area of a triangle with a base of 8 cm and a height of 5 cm?

The area of a triangle is calculated using the formula (base * height) / 2. So, (8 cm * 5 cm) / 2 = 20 cm^2.

#### Which of the following is a property of a parallelogram?

In a parallelogram, opposite angles are equal and opposite sides are parallel and equal in length.

#### Which of the following formulas represents the volume of a sphere?

The volume of a sphere is calculated using the formula 4/3πr^3, where r is the radius.

#### Which of the following statements is true about similar triangles?

Similar triangles have the same shape and angles but their side lengths are proportional.

#### What is the perimeter of an equilateral triangle with a side length of 5 cm?

The perimeter of an equilateral triangle is 3 times the side length. So, 3 * 5 cm = 15 cm.

#### What is the length of the diagonal of a rectangle with sides of length 3 cm and 4 cm?

The diagonal can be found using the Pythagorean theorem: √(3^2 + 4^2) = √(9 + 16) = √25 = 5 cm.

#### What is the formula for the surface area of a cylinder?

The surface area of a cylinder is given by the formula 2πr(r + h), where r is the radius and h is the height.

#### If two angles of a triangle are 35 degrees and 55 degrees, what is the measure of the third angle?

The sum of the angles in a triangle is always 180 degrees. So, 180 - (35 + 55) = 90 degrees.

#### What is the sum of the interior angles of a hexagon?

The sum of the interior angles of a polygon is given by (n-2) * 180 degrees, where n is the number of sides. For a hexagon, (6-2) * 180 = 720 degrees.