Question

if the traingle is a right angle and the lenght is 6 and the width is 8, using the pythagoren theorem what is the missing side and what does x equal to

Answer 1

To find the length of the hypotenuse in a right triangle with sides of length 6 and width 8, apply the Pythagorean theorem. The formula is a² + b² = c², where c is the hypotenuse. After calculation, the hypotenuse (x) is found to be 10 units long.

Step-by-step explanation:

If you have a right triangle with one length measuring 6 and the other width measuring 8, you can find the missing hypotenuse using the Pythagorean theorem. According to this theorem, in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). This relationship is described by the formula:

a² + b² = c²

For our triangle with lengths 6 and 8, let's denote the sides as follows:

• Side a (length) = 6
• Side b (width) = 8
• Side c (hypotenuse) = x (which we are looking for)

Plugging the values into the Pythagorean theorem, we get:

6² + 8² = x²

36 + 64 = x²

100 = x²

Now, we take the square root of both sides:

x = √100

x = 10

Therefore, the missing side x, which is the hypotenuse, is 10 units long.