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Area of Triangles

Site: Saylor Academy
Course: GKT101: General Knowledge for Teachers – Math
Book: Area of Triangles
Printed by: Guest user
Date: Wednesday, May 14, 2025, 4:30 AM

Description

You can think of any triangle as half of a parallelogram! This is why its area is half that of the parallelogram: half of height times base. Watch this lecture series and complete the interactive exercises to practice using the triangle area formula.

Table of contents

Finding area of triangles

Triangle missing side example

Practice

   

Find base and height on a triangle - Questions

1. A height is labeled on the triangle below.



Which line segment shows the base that corresponds to the given height of the triangle?

Choose 1 answer:

(A) \(A\)

(B) \(B\)

(C) \(C\)

2. Match the base to the corresponding height.


3. A height is labeled on the triangle below.



Which line segment shows the base that corresponds to the given height of the triangle?

Choose 1 answer:

(A) \(A\)

(B) \(B\)

(C) \(C\)

4. Match the base to the corresponding height.



Find base and height on a triangle - Answers

1. \(A\) is the base.

2. The following images show the height that corresponds with each base:



3. \(C\) is the base.

4. The following images show the height that corresponds with each base:



Area of right triangles - Questions

1. What is the area of the triangle?


_______ \(\text { units }^{2}\)

2. What is the area of the triangle?



_______ \(\text { units }^{2}\)

3. What is the area of the triangle?



_______ \(\text { units }^{2}\)

4. What is the area of the triangle?



_______ \(\text { units }^{2}\)

Area of right triangles - Answers

1. The triangle has an area of 30 units \(^{2}\).

2. The triangle has an area of \(7.5\) units \(^{2}\).

3. The triangle has an area of 120 units \(^{2}\).

4. The triangle has an area of 48 units \(^{2}\).

Area of triangles - Questions

1. Look at the image below.



What is the area of the triangle?

________ units \(^{2}\)

2. Look at the image below.



What is the area of the triangle?

________ units \(^{2}\)

3. Look at the image below.



What is the area of the triangle?

________ units \(^{2}\)

4. Look at the image below.



What is the area of the triangle?

________ units \(^{2}\)

5. Look at the image below.



What is the area of the triangle?

________ units \(^{2}\)

6. Look at the image below.



What is the area of the triangle?

________ units \(^{2}\)

7. Look at the image below.



What is the area of the triangle?

________ units \(^{2}\)


Area of triangles - Answers

1. The triangle has an area of 16 units \(^{2}\).

2. The triangle has an area of 63 units \(^{2}\).

3. The triangle has an area of 20 units \({ }^{2}\).

4. The triangle has an area of 96 units \(^{2}\).

5. The triangle has an area of 6 units \({ }^{2}\).

6. The triangle has an area of 135 units \(^{2}\).

7.  The triangle has an area of 5 units \(^{2}\).

Find missing length when given area of a triangle - Questions

1. The triangle shown below has an area of 12 units \(^{2}\).



Find the missing length.

\(x=\) ______ units

2. The triangle shown below has an area of 22 units \({ }^{2}\).



Find the missing length.

\(x=\) ______ units

3. The triangle shown below has an area of 40 units \(^{2}\).



Find the missing length.

\(x=\) ______ units

4. The triangle shown below has an area of 10 units \(^{2}\).



Find the missing length.

\(x=\) ______ units


Find missing length when given area of a triangle - Answers

1. The answer:

\(x=44 \text { units }\)

2. The answer:

\(x=11 \text { units }\)

3. The answer:

\(x=10 \text { units }\)

4. The answer:

\(x=5 \text { units }\)