Parts of a Triangle: Using the theorem: The median of a triangle divides it into two triangles of the same area

Classify a triangle by its sides Is it possible...?Using the median to calculate the perimeter Median in an isosceles triangle - properties Using parallel lines Determine the size of the given angles Identify the greater value Median in a right-angled triangle Using properties of the median Identifying the sides in a triangle using median and height Calculate Angles in Quadrilaterals True / false Identifying sides in a triangle Using angles in a triangle Identifying and defining elements Finding the size of angles in a triangle

Question 1

In front of you the next triangle:

Since AD is the median

Since the area of the triangle ADB is equal to 15.

Find the area of the triangle ABC.

Question 2

In front of you the next triangle:

Since AD is the median

Since the area of the triangle ABC is equal to 32.

Find the area of the triangle ADC.

Question 3

Look at the triangle below.

AD is the median and height.

Calculate the area of triangle ABC.

Examples with solutions for Parts of a Triangle: Using the theorem: The median of a triangle divides it into two triangles of the same area

Exercise #1

In front of you the next triangle:

Since AD is the median

Since the area of the triangle ADB is equal to 15.

Find the area of the triangle ABC.

Video Solution

Answer

30

Exercise #2

In front of you the next triangle:

Since AD is the median

Since the area of the triangle ABC is equal to 32.

Find the area of the triangle ADC.

Video Solution

Answer

16

Exercise #3

Look at the triangle below.

AD is the median and height.

Calculate the area of triangle ABC.

Video Solution

Answer

60