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Area of a Triangle . What is a triangle?. All t riangles are related to rectangles or parallelograms :. You can draw a diagonal line in any rectangle or parallelogram. Each rectangle or parallelogram is made up of two triangles!. What is the Area of a Triangle?.

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what is a triangle
What is a triangle?

All trianglesare related to rectangles or parallelograms:

You can draw a diagonal line in any rectangle or parallelogram.

Eachrectangle or parallelogram is made up of two triangles!

what is the area of a triangle
What is theAreaof a Triangle?
  • Theareaformula for a rectangle or a parallelogram is: A = bh.
  • Each triangle is ½of a rectangle or a parallelogram.
  • There are twotriangles in these shapes!
the formula
The Formula!
  • Remember the area formula for a rectangle or parallelogram is A=bh and that each rectangle and parallelogram has TWOtriangles in their shape.
  • Using this information to develop your own formula.
can i have a drum roll please
Can I have a drum roll please?!

Without further ado your formula should look something like…

  • Theareaformula for a triangleis
  • It can also be written as
finding the area of a triangle
Finding the Area of a Triangle

Determine which measurement is theheight:

Theheightis outside the triangle

The height is inside the triangle

The height is a sideof the triangle

finding the area of a triangle1
Finding the Area of a Triangle
  • Pay close attention to the pictures below. You may notice that some of the triangles have been rotatedorhidden in pictures.
  • Findbaseandheightin these examples:

base = 10 cm

height = 9 cm

base = 12.1 m

height = 6.4 m

base = 7 yd

height = 4 yd

applying the area formula
Applying the Area Formula
  • Write the area formula exactly as it appears on the FCAT Reference Sheet.
  • Rewrite the area formula substituting the values that you know.
  • Solve one step at a time rewriting after each step.
applying the area formula1
Applying the Area Formula

Example: Find the area of the triangle shown below.

A = ½ bh

A = ½ × 15.6 × 11.25

A = ½ × 175.5

A = 87.75 square meters

rally coach
Rally Coach
  • Students sit in pairs.
  • First Problem: Partner A solves; Partner B coaches and praises.
  • Next Problem: Partner B solves; Partner A coaches and praises.
  • Continue solving problems.
finding the area of a triangle2
Finding the Area of a Triangle

With your shoulder partner find the area of the following triangles using Rally Coach.

1.

2.

3.

4.

finding the area of a triangle3
Finding the Area of a Triangle

With your shoulder partner find the area of the following triangles using Rally Coach.

1.

Answer:

90 cm2

2.

Answer:

425.25 mm2

Answer: 14 yd2

3.

Answer:

45 cm2

4.

check your understanding
Check your Understanding

Find the area of the following two triangles independently.

5 cm.

6 ft.

7 cm.

3 ft.

8 km.

4 mm.

9 mm.

11 km.

check your understanding1
Check your Understanding

Find the area of the following two triangles independently.

18 mm2

44 km2

  • 9 ft2
  • 17.5 cm2
finding the area of a triangle4
Finding the Area of a Triangle

From where and how did we derive the area of a triangle formula?

exit question
Exit Question

Independently find the area of the following triangle on a separate slip of paper. This will act as your exit ticket.