Carcass wrote:
Quantity A |
Quantity B |
X |
6 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Now consider the triangle ABC(diag. attached)
We have
angle B = 70 and angle A = 40
Therefore angle C = 70 (180-(40+70)).
Since angle b = angle c
therefore side AB= side AC = 10.
Now consider the triangle GFC
angle G = 90, and angle C in this triangle = 60 (130 -70 , in triangle ABC, angle C= 70)
and angle F = 30 (180 - (90+60)). NOw we have a 30-60-90 triangle.
Side CF = 8, therefore by 30-60-90 triangle properties ( sides distribute in the ratio = 1:\(\sqrt{3}\) :2)
We have GF = \(4\sqrt{3}\) and GC = 4.
Now to find AG, we know
AG = AC- GC
or AG = 10 -4 = 6.
Attachments

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