Understanding Triangle Area Calculation

The video tutorial explains how to find the area of a triangle by identifying its base and height. It focuses on an equilateral triangle, where the height is determined by drawing an altitude, creating a 30-60-90 right triangle. The tutorial details how to calculate the height using the properties of a 30-60-90 triangle, where the short leg is half the hypotenuse, and the long leg is the height. Finally, it demonstrates the area calculation using the formula for the area of a triangle.

What two measurements are essential to find the area of a triangle?

• Perimeter and area

• Length and width

• Base and height

• Diameter and radius

In an equilateral triangle, where is the height drawn from?

• From the center to any vertex

• From the midpoint of one side to the opposite side

• From the apex perpendicular to the base

• From the base to the opposite vertex

What type of triangle is formed when an altitude is drawn in an equilateral triangle?

• Isosceles triangle

• Right triangle

• 30-60-90 triangle

• 45-45-90 triangle

In a 30-60-90 triangle, what is the relationship between the short leg and the hypotenuse?

• The short leg is the square root of the hypotenuse

• The short leg is half the hypotenuse

• The short leg is twice the hypotenuse

• The short leg is equal to the hypotenuse

How do you calculate the long leg in a 30-60-90 triangle?

• Multiply the short leg by the square root of 3

• Multiply the hypotenuse by 2

• Multiply the hypotenuse by the square root of 3

• Multiply the short leg by 2

What is the length of the short leg if the hypotenuse is 10 in a 30-60-90 triangle?

• 10√3

• 5

• 10

• 5√3

What is the formula used to calculate the area of a triangle?

• Base minus height

• Base plus height

• One half times base times height

• Base times height

If the base of a triangle is 10 and the height is 5√3, what is the area?

• 25√3

• 50

• 50√3

• 25

Why is the area of a triangle expressed in square units?

• Because it is a linear measurement

• Because it is a three-dimensional measurement

• Because it involves multiplication

• Because it is a two-dimensional measurement