One leg of a right triangle is 8 units long, and its hypotenuse is 14 units long. What is the length of the other leg? Round to the nearest whole number.
a) 11 units
b) 13 units
c) 18 units
d) 22 units
To find the length of the other leg in a right triangle, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let the length of the other leg be x.
According to the Pythagorean theorem:
x^2 + 8^2 = 14^2
Simplifying the equation:
x^2 + 64 = 196
Subtracting 64 from both sides:
x^2 = 132
Taking the square root of both sides:
x = √132
Rounding to the nearest whole number:
x ≈ 11
Therefore, the length of the other leg is approximately 11 units.
The answer is option a) 11 units.