Answer:
triangle given is not a right triangle
Explanation:
Given:-
- The side lengths of a triangle are given as:
24 , 32 , 42
Find:-
is it a right triangle? explain
Solution:-
- Any triangle which conforms to the pythagorean theorem can be classified as a right angle triangle.
- The Pythagorean theorem states that the square of the longest side length known as hypotenuse (H) should be equal to the sum of square of other two side lengths ( Perpendicular / opposite [ P ] and Base / Adjacent [ B] ).
- This can be mathematically expressed as:
H^2 = P^2 + B^2
- From the given side lengths. The largest side length is hypotenuse H = 42. While P and B can be used interchangeably for the other two side lengths. So using the theorem we have:
42^2 = 32^2 + 24^2
1764 : 1024 + 576
1764 ≠1600
- We see that the three side lengths of the triangle does not conform to theorem. So we can conclude that the triangle given is not a right triangle.