Question

Given that BD ⊥ AC , what is the length of AC ? If necessary, round your answer to two decimal places.

Answer 1

There are two ways to do this: (1) setting up trig ratios, finding the measures of angles, setting up more ratios, and solving for the missing side, then adding the results; and (2) applying Pythagorean's theorem and adding the results.

The second method is quicker, but if you're supposed to use trig ratios it's not too difficult.

Answer 2

how would i set it up using Pythagorean's theorem and adding the results??

Answer 3

\[(AD)^2+(7.9)^2=(9.4)^2\\
(DC)^2+(7.9)^2=(23.2)^2\]
Then, after finding AD and DC, you have
\[AC = AD + DC\]

Answer 4

ok this is what i got for the first one 62.41 = 88.7364

Answer 5

This is what you should be getting for the first one.\[\begin{align*}(AD)^2+(7.9)^2&=(9.4)^2\\
(AD)^2&=(9.4)^2-(7.9)^2\\
(AD)^2&=88.36-62.41\\
(AD)^2&=25.95\\
AD&=\sqrt{25.95}\\
AD&=5.09\end{align*}\]

Answer 6

yes that is waht i got

Answer 7

Okay, now using the same process, find DC, then add it to AD and you get AC.

Answer 8

for the second one i got 21.81 after all the work

Answer 9

i got 26.9 is that correct

Answer 10

Yeah, that's right.

Answer 11

thank you for the help

Answer 12

You're welcome.

Answer 13

can you help me on this other on idk if i have to add all them up or if i do the same here?