Answer:
9.165 cm
Explanation:
To find the missing leg of the right triangle, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two legs.
Let's label the missing leg as "x". We have one leg measuring 4 cm and a hypotenuse measuring 10 cm.
According to the Pythagorean Theorem, we can write the equation:
x^2 + 4^2 = 10^2
Simplifying further, we have:
x^2 + 16 = 100
Next, we can isolate the term with "x" by subtracting 16 from both sides:
x^2 = 100 - 16
x^2 = 84
To solve for "x", we take the square root of both sides:
√(x^2) = √84
x = √84
Calculating the square root of 84, we find:
x ≈ 9.165 cm
Therefore, the missing leg of the right triangle measures approximately 9.165 cm.
In summary, using the Pythagorean Theorem, we find that the missing leg of the right triangle with a leg of 4 cm and a hypotenuse of 10 cm is approximately 9.165 cm.