Question

Kelsey measured the sides of a porch to determine if it is a right triangle. Does her porch with side lengths of 42 feet, 56 feet, and 70 feet form a right triangle?Yes, because 1st pictureYes, because 2nd pictureNo, because 3rd pictureNo, because 4th picture

Answer 1

Yes, the porch forms a right triangle as:

`42^2\text{ + 56}^2\text{ = 70}^2`

Step-by-step explanation:

Here, we want to check if the porch is a right triangle

For the Porch to be a right triangle, Pythagoras' theorem must be obeyed

For Pythagoras' theorem, we have it that:

The square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the two other sides

In this particular example, 70 ft represents the hypotenuse

Thus, since:

`42^2\text{ + 56}^2\text{ = 70}^2`

We can conclude that the Porch forms a right triangle