Question

A triangle has sided with lengths of 20 miles, 25 miles, and 30 miles. Is it a right triangle ?

Answer 1

No

Explanation:

For a Triangle to be a Right-Angled Triangle, should follow the Pythagoras Theorem which states that

If a is the larger side and b , c are the lengths of the other two sides

Then
`a^(2) =b^(2) +c^(2)`

Here a=30 , Then
`a^(2)=30^(2) =900`

and b=20 , c=25 , Then
`b^(2) +c^(2) =20^(2) +25^(2) =1025`

Since
`a^(2) \\eq b^(2) +c^(2)`

Then the Triangle is not Right Triangle

Answer 2

No

Explanation: