Understanding the Area of an Isosceles Triangle

This video tutorial explains how to calculate the area of an isosceles triangle. It begins with a brief introduction to the formula for the area of a triangle, which is 1/2 the base times the height. The tutorial then focuses on finding the height of an isosceles triangle by drawing an altitude and using the Pythagorean theorem. The process involves splitting the base into two equal parts and calculating the missing side using a calculator. Finally, the video demonstrates how to plug the values into the area formula to find the area in square units.

What is the formula for the area of a triangle?

• Base times height

• Half of base times height

• Base plus height

• Base minus height

In an isosceles triangle, which side is typically used as the base?

• The side that is not equal to the others

• The longest side

• The side opposite the vertex angle

• Any side can be used

What is the purpose of drawing an altitude in a triangle?

• To find the base

• To find the perimeter

• To create two equal triangles

• To determine the height

What theorem is used to find the missing side of a right triangle?

• Pythagorean theorem

• Triangle inequality theorem

• Sine rule

• Cosine rule

If the hypotenuse is 4 and one leg is 1.5, what is the formula to find the other leg?

• a^2 = 4^2 - 1.5^2

• a^2 + 1.5^2 = 4^2

• a^2 = 4^2 + 1.5^2

• a^2 - 1.5^2 = 4^2

What is the square of 1.5?

• 2.25

• 3.25

• 1.75

• 2.75

How do you find the square root of a number using a calculator?

• Use the square root function

• Use the addition button

• Use the multiplication button

• Use the division button

What is the height of the isosceles triangle calculated in the video?

• 3.7

• 2.7

• 5.7

• 4.7

What is the final area of the isosceles triangle?

• 7.5 square units

• 6.5 square units

• 5.5 square units

• 4.5 square units

If the base is 3 and the height is 3.7, what is the area of the triangle?

• 6.55 square units

• 7.55 square units

• 5.55 square units

• 4.55 square units