kaylo9915
kaylo9915 kaylo9915
  • 02-06-2017
  • Mathematics
contestada

Find the value of x.

A:
2 square root of 6

B:
2 square root of 42

C:
2 square root of 7

D:
square root of 14

Find the value of x A 2 square root of 6 B 2 square root of 42 C 2 square root of 7 D square root of 14 class=

Respuesta :

tonb
tonb tonb
  • 02-06-2017
If we call the leg of the small triangle y, and the leg perpendicular to x z, we can apply Pythagoras 3 times:

(1) 4 + y^2 = x^2
(2) x^2 + z^2 = 196 => z^2 = 196-x^2
(3) y^2 + 144 = z^2 => y^2 = z^2 - 144

Now fill in (3) in (1):

4 + z^2 - 144 = x^2

and then (2) in (1):

196-x^2-140 = x^2 => 2x^2 = 56 => x = √28 = 2√7

Answer C!
Answer Link

Otras preguntas

a rectangle is 3 times as long as it is wide and its perimeter is 120 centimeters. find area.
(3x^2 + 2x -2) + ( -2x^2 + 5x+5) My answer 5x^2 + 7× +7 Am i right
Please answer theses division problems!! 9 divided by 3/7
31+34=90-n 45+1=70-k 6×9=41+m
PLEASE HELP I GIVE THANKS
what is 15/24 in simplest form
What is the adjective in the following sentence? The yellow sun hung brightly in the sky. a. Brightly b. Sun c. Yellow d. Hung
an explanation describe if an orange pet mates with another orange pet, can they have any green offspring.
is a centimeter one tenth or one hundredth or a meter
one-third of the fish in Liam's fish tank were added today. Half of the other fish were a gift to Liam last week. the other 9 came from Liam's old fish tank.