Question

Find the length of the missing leg if you have one leg 24 mm and the hypothesis is 25 mm what is the other leg 10 mm 10 yd 7 mm 7 yd

Answer 1

To find the length of the missing leg, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In the first case, where one leg is 24 mm and the hypotenuse is 25 mm, we can label the missing leg as "x". The Pythagorean theorem can be written as:

x^2 + 24^2 = 25^2

Simplifying, we have:

x^2 + 576 = 625

Subtracting 576 from both sides, we get:

x^2 = 49

Taking the square root of both sides gives us:

x = ±√49

Since we are dealing with lengths, we can discard the negative value. Hence, the length of the missing leg is 7 mm.

For the second case, where one leg is 10 yd and the hypotenuse is 7 yd, let's label the missing leg as "y". Following the same steps as before, we have:

y^2 + 10^2 = 7^2

Simplifying, we get:

y^2 + 100 = 49

Subtracting 100 from both sides, we have:

y^2 = -51

Since we cannot take the square root of a negative number within the real number system, there is no real solution for the length of the missing leg in this case.