Question

please help!! 1 medal and fan
Find the value of x.

a.6
b.16
c. 4sq.root5
d. 8sq.root5

https://rialto5819-ehs-pps.gradpoint.com/Resource/2146263,72F,0,0,0,0,0/Assets/testitemimages/geometry_a/similarity/mc075-1.jpg

Answer 1

\[4\sqrt{5}\]
\[8\sqrt{5}\]

Answer 2

@genius12 i tried to do it on this one and didnt work

Answer 3

Looking at the large triangle, the short leg, "x" is to the hypotenuse, (5 + 11) as (looking at the smallest triangle) the short leg (5) is to the hypotenuse (x) :

x/16 = 5/x

x^2 = 80 -> x = 4 times sqrt(5)

Answer 4

thanks

Answer 5

uw! Good luck to you in all of your studies and thx for the recognition! @knowel

Answer 6

Use this theorem:

Theorem: If an altitude is drawn to the hypotenuse of a right triangle, either leg of the triangle is the geometric mean between the length of the hypotenuse and the segment of the hypotenuse adjacent to that leg.

Answer 7

Accordingly, 5 is to x as x is to 16.

5/x = x/16

x =x = 4 times sqrt(5) as stated above