In Δ𝐴𝐵𝐶, 𝐴𝐵̅̅̅̅ 𝑖𝑠 𝑐𝑜𝑛𝑔𝑟𝑢𝑒𝑛𝑡 𝑡𝑜 𝐵𝐶̅̅̅̅. 𝑇ℎ𝑒 𝑝𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟 𝑜𝑓 Δ𝐴𝐵𝐶 𝑖𝑠 82 𝑐𝑒𝑛𝑡𝑖𝑚𝑒𝑛𝑡𝑒𝑟𝑠. How many centimeters long is 𝐴𝐶̅̅̅̅?

Question

1087 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-29T00:44:52

$AC = 20" cm"$

Because we are told that AB is congruent to BC, we know that the equation length of AB is, also, $4x-9$ .

Add the lengths of the 3 sides together and set that equal to $82" cm"$ :

$2x+4x-9+4x-9= 82" cm"$

Combine like terms:

$10x -18 = 82" cm"$

$10x = 100" cm"$

$x = 10" cm"$

The length of AC is:

$AC = 2x$

$AC = 2(10" cm")$

$AC = 20" cm"$