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

Question

asked Jan 1, 2023 43.0k views

2 Answers

Tion · Answer 1 · 2023-01-03T07:08:05+0000

Answer:

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