Given:
In △ABC is a right angle triangle.
AC is 6 units longer than side BC.
To find:
The length of AC.
Solution:
Let the length of BC be x.
So, Length of AC = x+6
According to the Pythagoras theorem, in a right angle triangle
△ABC is a right angle triangle and AC is hypotenuse, so
Subtract 68 from both sides.
Divide both sides by 2.
Splitting the middle term, we get
Side cannot be negative, so x=2 only.
Now,
Therefore, the length of AC is 8 units.
Answer:
54°
Step-by-step explanation:
Since the radius is not given, i'm going to assume that you are being asked for the measure of Arc FE, which is the angle the arc makes on the circumference when measured from the center of the circle.
Please refer to attached.
We can observe that FG and GE are both radii of the circle, hence they will have the same length. This also means that triangle FGE is an isosceles triangle. Which in turn means that ∠GFE = ∠GEF = 63°.
With this we can find the measure of arc FE
= ∠FGE
= 180° - 63° - 63°
= 54°
Hope this helps!
