Question

find the length of the missing side using the pythagorean theorem. round to the nearest tenth if necessary. 9.9 cm 13 cm a. 16.3 b. 11.7 c. 9 d. 8.4

Explanation:

Step1: Recall Pythagorean Theorem

For a right - triangle with sides $a$, $b$ and hypotenuse $c$, $a^{2}+b^{2}=c^{2}$. Here, if the hypotenuse $c = 13$ cm and one side $a=9.9$ cm, and the missing side is $x$, then $x^{2}+9.9^{2}=13^{2}$.

Step2: Rearrange the formula to solve for $x$

$x^{2}=13^{2}-9.9^{2}$. Calculate $13^{2}=169$ and $9.9^{2}=98.01$. So $x^{2}=169 - 98.01=70.99$.

Step3: Find the value of $x$

$x=\sqrt{70.99}\approx 8.4$ cm.

Answer:

d. 8.4