CG is 13 cm
- CG= 13 cm
Given : Δ ABC where DG, EG, and FG are perpendicular bisectors of the sides intersecting at point G .
⇒ G is the circumcenter of the triangle.
⇒BG, CG and AG are the angle bisectors of the triangle.
Now, from the given figure
In ΔBDG and ΔBEG
∠D = ∠ E [right angle]
BG=BG [reflexive property]
∠DBG=∠EBG [Definition of angle bisector]
⇒ΔBDG ≅ ΔBEG [AAS congruence theorem]
Thus BD=BE= 12 cm [CPCT]
DG=EG= 5 cm [CPCT] .....(1)
Now In ΔBGE and ΔCGE
GE=GE [reflexive property]
∠BEG=∠CEG [right angle]
BE=EC [Definition of perpendicular bisector]
⇒ΔBGE ≅ ΔCGE [SAS postulate]
⇒BE=CE=12 cm ......(from (1))
and GE= 5 cm
As ΔCGE is right angle then by Pythagoras theorem,
Given that DG = 5 cm and BD = 12 cm, then
Since AG = BG = CG, therefore, CG = 13 cm.
a be the acceleration of the system,
g be the acceleration due to gravity,
T be the tension in the string.
T = mA a
mB g - T = mB a
Adding to eliminate T:
mB g = (mA + mB)a ...(1)
a = mB g / (mA + mB)
= 7.0 * 9.81 / (11.0 + 7.0)
= 3.815 m/s^2
= 3.82 m/s^2 to 3 sig. fig.
s be the distance to the edge of the table,
t be the time taken.
s = at^2 / 2
t = sqrt(2s / a)
= sqrt(2 * 1.250 / 3.815)
= 0.810 sec to 3 sig. fig.
(mA + mB)(a / g) = mB
mA(a / g) = mB(1 - a / g)
mA = mB(g / a - 1)
= 4.0(100 - 1)
= 396 kg.
For the second one: your answer would be 10cm.
your answer is 5.
all the sides are the same because of the right angle signs; that means the lines are 90 degrees and are midway markers in this triangle. for example, the midway markers mean EC is 3 as well, and BEC is 6, since 3+3=6.
so since we know ge is 4, and we know be is 3, we know ad = be and dg = eg. find the hypotenuse of these two bad boys. a^2+b^2=c^2.
now plug in variables: 3^2+4^2=ag^2. 9+16=25. find the square root of the hypotenuse (because we need ag, not ag^2). your answer is five, and you're done. :)
The intersection of all three perpendicular bisector is called the circumcenter, which is an equidistant point from each vertex of the triangle, that is
So, to find the answer, we just have to find the length of CG, and that would be also the length of BG.
Now, let's focus in the , which is a right triangle and CG is the hypothenuse, applying pythagorean's theorem, we have
But, we know that
Replacing this values, we have
it is pretty much backwards.
you take the 4x2 multiply that, and that is = $8
hey seth! : )
i’m not 100% sure, but i think it’s b
hope this ya : p