what is the value of x? 12 units 15 units 20 units 25 units
what is the value of x? 12 units 15 units 20 units 25 units
Answer
Explanation:
Step1: Use geometric - mean theorem
In a right - triangle, if an altitude is drawn from the right - angle vertex to the hypotenuse, then the altitude is the geometric mean between the segments of the hypotenuse. Here, in right - triangle $RSQ$ with altitude $RT$, we have $x^{2}=9\times16$.
Step2: Solve for $x$
Take the square root of both sides of the equation $x^{2}=9\times16 = 144$. Since $x>0$ (as it represents a length), $x=\sqrt{144}=12$.
Answer:
12 units