9-1 Area of a Rhombus - GEOMETRY

The video tutorial explains how to find the area of a rhombus, also referred to as a 'crambus.' It begins by describing the properties of a rhombus, such as having four equal sides and diagonals that intersect at right angles. The instructor introduces the formula for calculating the area using the diagonals and demonstrates it through an example problem. The problem involves using the Pythagorean theorem to find a missing diagonal length. The tutorial concludes with the final area calculation, emphasizing the importance of understanding the geometric properties and formulas.

What is a key characteristic of a rhombus?

• All angles are right angles

• All sides are equal

• It has two pairs of parallel sides

• It has one pair of parallel sides

Which formula is used to calculate the area of a rhombus?

• Side squared

• Length times width

• Base times height

• 1/2 times the product of the diagonals

What happens when the diagonals of a rhombus intersect?

• They form two equal angles

• They form four right triangles

• They form a square

• They form a rectangle

If one diagonal of a rhombus is 14 and the side is 25, what is the length of half of the other diagonal?

• 12

• 7

• 24

• 14

Which theorem is used to find the missing diagonal in a rhombus?

• Fermat's Theorem

• Pythagorean Theorem

• Thales' Theorem

• Euclid's Theorem

What is the full length of the diagonal if half of it is 24?

• 36

• 24

• 48

• 12

What is the area of a rhombus with diagonals measuring 14 and 48?

• 672

• 336

• 168

• 240