Exploring Parallelograms and Triangles in Geometry

What is the area of a parallelogram with a base of 6 cm and a height of 4 cm?

• 24 cm²

• 10 cm²

• 12 cm²

• 48 cm²

If the area of a parallelogram is 12 square meters and the height is 2 meters, what is the base?

• 24 meters

• 5 meters

• 10 meters

• 6 meters

How do you calculate the area of a triangle?

• Twice the base times height

• Base plus height

• Half the product of base and height

• Base times height

What is the area of a triangle with a base of 7 meters and a height of 5.4 meters?

• 18.9 m²

• 35.1 m²

• 12.6 m²

• 37.8 m²

For a triangle with an area of 35 square meters and a base of 11.3 meters, what is the height?

• 5.65 meters

• 7.2 meters

• 3.1 meters

• 6.19 meters

Using a 30-60-90 triangle rule, if the longest side is 10 units, what is the height?

• 20 units

• 15 units

• 10 units

• 5 units

If the base of a triangle is 5√3 and the height is 5, using the special triangle area formula, what is the area?

• 25√3

• 12.5√3

• 37.5√3

• 50√3

Using the Pythagorean theorem, if one side of a right triangle is 5 units and the hypotenuse is 13 units, what is the other side?

• 6 units

• 8 units

• 10 units

• 12 units

What is the base of a parallelogram if its area is 240 square meters and the height is 12 meters?

• 15 meters

• 10 meters

• 30 meters

• 20 meters

Using trigonometry, if the tangent of the angle is 61 degrees and the opposite side is 19 units, what is the length of the adjacent side?

• 10.53 units

• 15.79 units

• 25.32 units

• 20.06 units