mullinsjoy
Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.


the lengths of the three sides of a triangle are 4, 7, and 8. is the triangle a right triangle?

Why or why not?

Sagot :

DavidOrrell
In a right-angled triangle, a^2 + b^2 = c^2 (Pythagoras' theorem), where c is the hypotenuse (longest side) and a and b are the other two. 4^2 + 7^2 = 16 + 49 = 65, and 8^2 = 64. These numbers are not equal so the triangle doesn't follow the theorem - therefore it is not right-angled.
If it's a right angled triangle, we should be able to set up an a²+b²=c² equation using 4,7 and 8. If this isn't possible, then the triangle isn't a right angled triangle. 

4²=16, 7²=49 and 8²=64.

-------------------------------------

4²+7²=16+49=11+5+49=65 (not 8²)

--------------------------------------

7²+8²=49+64=43+6+64=113 (not 4²)

--------------------------------------

4²+8²=16+64=80 (not 7²)

----------------------------------------

Using this information we can see that the triangle you have described is not a right angled triangle.
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.