Question

c 7 in d 11 in e? ce = ____

Explanation:

Step1: Apply Pythagorean theorem

In right - triangle $CDE$, if $CD = a = 7$ in and $DE=b = 11$ in, and $CE$ is the hypotenuse $c$. According to the Pythagorean theorem $c^{2}=a^{2}+b^{2}$.

Step2: Substitute values

Substitute $a = 7$ and $b = 11$ into the formula: $c^{2}=7^{2}+11^{2}=49 + 121=170$.

Step3: Find the value of $c$

$c=\sqrt{170}\approx 13.04$ in.

Answer:

$\sqrt{170}\text{ in}\approx13.04\text{ in}$