Find the missing length for a right triangle with hypotenuse of 18 and a leg length of 6. Round to the nearest whole number if necessary.
A. 17**
B. 324
C. 19
D. 36
Yes, 17.
To find the missing length in a right triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
In this case, we know the length of one leg is 6 and the hypotenuse is 18. Let's call the missing length "x".
We can set up the equation as follows:
6^2 + x^2 = 18^2
Simplifying the equation, we get:
36 + x^2 = 324
Now, we can isolate the variable by subtracting 36 from both sides:
x^2 = 288
To find the value of "x", we can take the square root of both sides:
x = √288
Using a calculator, we find that √288 is approximately 16.97.
Since we are asked to round to the nearest whole number, the missing length is approximately 17.
Therefore, the correct answer is A. 17.