Question

1. find the length of the diagonal d. (hint: you need to find the other hypotenuse first). round each answer to the nearest hundredth. 7 inches 5 inches 12 inches type a response

Explanation:

Step1: Find base - diagonal length

Use Pythagorean theorem for base with sides 12 and 5. Let base - diagonal be $x$. Then $x^{2}=12^{2}+5^{2}$.
$x^{2}=144 + 25=169$, so $x = 13$.

Step2: Find the space - diagonal length

Use Pythagorean theorem again with height 7 and base - diagonal $x = 13$. Let space - diagonal be $d$. Then $d^{2}=x^{2}+7^{2}$.
$d^{2}=13^{2}+7^{2}=169+49 = 218$.
$d=\sqrt{218}\approx14.76$.

Answer:

$14.76$