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23 votes
23 votes
Hello people ~

The sides of a triangle are 5, 12 & 13 units. Check if it has a right angle or not.


User NtgCleaner
by
3.2k points

2 Answers

8 votes
8 votes

Explanation:

The sides of triangle are 5,12 and 13

Here, the greatest side is 13

Therefore,

  • 13²=5²+12²
  • 169=25+144
  • 169=169 (True)

Hence, these sides will form a right angled triangle.

User David Eisenstat
by
2.7k points
17 votes
17 votes


\qquad \qquad\huge \underline{\boxed{\sf Answer}}

To check if the triangle is congruent or not, we have to see if they form Pythagorean triplet, that is :

sum of squares of smaller sides should be equal to square of the longest side.

let's check it out ~


\qquad \sf  \dashrightarrow \: {5}^(2) + 12 {}^(2) = {13}^(2)


\qquad \sf  \dashrightarrow \: {25}^{} + 144 = 169


\qquad \sf  \dashrightarrow \: 169= 169

Therefore, the sides 5, 12 and 13 forms a right angle.

User Rahn
by
2.7k points