Question

value: 2
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, let $a = 9.9$, $c = 13$, and we need to find $b=x$. Then $x=\sqrt{c^{2}-a^{2}}$.

Step2: Substitute values

$x=\sqrt{13^{2}-9.9^{2}}=\sqrt{169 - 98.01}=\sqrt{70.99}$.

Step3: Calculate square - root

$\sqrt{70.99}\approx8.4$.

Answer:

d. 8.4