Welcome to our Area of Right Triangle page.
Here you will find our collection of worksheets all about finding the area of a right triangle.
These sheets are aimed at children of a 5th / 6th grade level and up.
On this webpage you will find our range of worksheets to help your child to work out the area of a range of right triangles and triangles with their perpendicular height given.
These sheets are graded from easiest to hardest, and each sheet comes complete with answers.
Using these sheets will help your child to:
Want to test yourself to see how well you have understood this skill?.
Quicklinks to ...
The reason that you simply need to multiply the two perpendicular sides together and halve the answer to find the area of a right triangle is quite straightforward to understand.
If you look at the triangle above, you will notice that the red dotted line that joins the triangle forms a rectangle.
The area of the right triangle is exactly half of this rectangle because it has been split into two identical (congruent) right triangles with the same area.
However, we can also see that the area of the rectangle has to be b x h (because to find the area of a rectangle, you multiply adjacent sides together).
The area of the right triangle is half of this rectangle so we have Area = ½ x b x h.
Example 1) Find the area of the right triangle below.
Example 2) Find the area of the right triangle below.
Example 3) Find the area of the triangle below.
Example 4) HARDER - Find the area of the right triangle below.
Our printable support page has the formulas for the area of common 2d shapes.
In Sheets 1 and 2, the perpendicular heights are all given - so they are straightforward to solve.
Sheet 3 is much trickier as Pythagoras' theorem is needed to find the missing perpendicular height before the area can be worked out.
These sheets contain a mixture of right triangles and triangles where the perpendicular height is given.
Take a look at some more of our worksheets similar to these.
5th Grade Geometry Worksheets
Here is our selection of 5th grade Geometry worksheets about angles.
The focus on these sheets is angles on a straight line, angles around a point and angles in a triangle.
More Area Worksheets
Here is our selection of free printable area worksheets for 3rd and 4th grade.
The sheets are all graded in order from easiest to hardest.
Using these sheets will help your child to:
Perimeter Worksheets
Here is our selection of free printable perimeter worksheets for 3rd and 4th grade.
The sheets are all graded in order from easiest to hardest.
Using these sheets will help your child to:
All the math practice worksheets in this section support Elementary Math Benchmarks.
Here is our range of volume worksheets.
Using these sheets will help your child to:
Our quizzes have been created using Google Forms.
At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.
This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.
For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.
We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.
We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.
For more information on the information we collect, please take a look at our Privacy Policy
We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.
This quick quiz tests your skill at finding and using the area of a right triangle with our quick quiz here!
How to Print or Save these sheets
Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!
How to Print or Save these sheets
Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!
Return to 6th Grade Math Worksheets
Return from Area of Right Triangle page to Math Salamanders Homepage
The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.
We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.
Looking for some fun printable math games?
We have some great games for you to play in our Math Games e-books!
Do you know how old you are...in weeks? days? hours?
Are you more than a million minutes old?
Find out how old you are to the nearest second!
We have updated and improved our fraction calculators to show you how to solve your fraction problems step-by-step!
Take a look and try them out!
Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child
If you are a regular user of our site and appreciate what we do, please consider making a small donation to help us with our costs.
Get a free sample copy of our Math Salamanders Dice Games book with each donation!
Looking for a fun and motivating way to learn and practice math skills?
Why not try one of our free printable math games with your students!
New! Comments
Have your say about the Math resources on this page! Leave me a comment in the box below.