Atriangle has side lengths 24, 32, and 42. is it a right triangle? explain.

triangle given is not a right triangle

Step-by-step 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.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

4 + 5 7/9= 9 7/9

step-by-step explanation: