Mr. Jackson ran the shortest distance on Wednesday
ACB, ACD and DCB are all right triangles. We can then represent the relationships of their legs through the Pythagorean theorem.
For triangle ACB:
7^2=(AC)^2+(BC)^2 (1)
For triangle ACD:
(AC)^2=3^2+(CD)^2 (2)
For triangle DCB:
(BC)^2=(CD)^2+4^2 (3)
To make things simpler, we let
(AC)=x
(BC)=y
(CD)=z
Hence we have:
49=x^2+y^2 (1)
y^2=z^2+16 (2)
x^2=9+z^2 (3)
To solve for the unknown c, let us first substitute equation (2) in (1)
49=x^2+z^2+16
33=x^2+z^2 (4)
Then, we can substitute equation (3) in (4)
33=9+z^2+z^2
24=2z^2
z^2=12
z=2sqrt(3)
Thus, the length of z or (CD) is 2sqrt(3) in simplest radical form.
Answer:
c=13
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
12^2+5^2=x^2
169=x^2
x=13
This is one of the few combination of triangle you should really memorize.
Try 3/4 because its a fraction and its not a whole number
No, this would not be a biased question unless the people asked were all Thai people or all Chinese people. Then the information would be skewed because naturally, Chinese people would favor Chinese food and same for Thai.
