Answer:
The length of AC is 222 units.
Step-by-step explanation:
Given AC and AE are common external tangents of G and D.
BC= 123 , GB=20 and AG=101.
We have to find the measure of AC.
As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,
In ΔABG, by Pythagoras theorem
⇒
⇒
⇒ AB=99 units.
Hence, AC=AB+BC=99+123=222 units.
The length of AC is 222 units.
Answer:
11) 153, 85, 238 12) 12, 15, 27
Step-by-step explanation:
To find the area of these shapes, you have to cut them into two seperate shapes as shown the in the image: Shape 1 and Shape 2
11) Let Shape 1 be the rectangle: 17×9=153
let Shape 2 be the triangle: ×10×8.5=42.5×2=85
Total area: 153 + 85 = 238
12) Let cut this shape vertically where you'll have a rectangle thats 3 by 4 and a rectangle that's 5 by 3
Shape 1: 3×4=12
Shape 2: 5×3=15
Total area: 15 + 12 = 27