Exploring Adding and Subtracting Rational Expressions

What is the primary learning objective of the lesson?

• To understand the properties of polygons

• To solve triangle area problems

• To differentiate between acute and obtuse angles

• To memorize the formulas for different triangles

How is the area of a right triangle calculated?

• Base times height

• Base times height divided by 2

• Base plus height divided by 2

• 1/2 times the base plus the height

How can you find the height in an acute triangle for area calculation?

• By drawing a line from the top vertex perpendicular to the base

• By drawing a line parallel to the base

• By calculating the median of the triangle

• By measuring the longest side of the triangle

In the context of triangles, what does the 90-degree box indicate?

• The location of the height

• The obtuse angle

• The location of the base

• The right angle

What characteristic defines an acute triangle?

• All angles are more than 90 degrees

• One angle is more than 90 degrees

• One angle is exactly 90 degrees

• All angles are less than 90 degrees

Which formula is used to calculate the area of an obtuse triangle?

• Base plus height divided by 2

• 1/2 times the base times the height

• Base times height

• Base times height divided by 2

What is the area of a triangle with a base of 6 units and a height of 4 units?

• 20 units squared

• 10 units squared

• 24 units squared

• 12 units squared

For an obtuse triangle, how do you determine the base and height?

• The sides touching the 90-degree box are the base and height

• The sides not touching the 90-degree box are the base and height

• The longest side is always the base

• Any side can be the base or height

Why is the area formula for a triangle similar to that of a rectangle?

• Because both shapes have four sides

• Because a triangle is half of a rectangle

• Because both can have right angles

• Because the formulas were created by the same person

How do you find the missing base of a triangle if the area and height are known?

• Multiply the area by 2 and divide by the height

• Add the area and height together

• Subtract the height from the area

• Divide the area by the height and then multiply by 2