Answer:
x = 14
Step-by-step explanation:
In the triangle O is the centroid.
Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.
So, from the given diagram we can write
⇒ 3x = 4x - 14
⇒ x = 14 (Answer)
For this case, we know that:
Then, by Pythagorean theorem (right triangle on the right) we have:
So, again using the Pythagorean theorem (right triangle on the left) we have:
Substituting values:
Rewriting:
Answer:
The value of CA is given by: