Circle C is shown. Line segments A C and B C are radii. The length of C B is 18. Angle A C B is 140 degrees. Arc A B is labeled
2 answers:
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Answer:
Scale factor = 1/2
Ratio R:T = 2:1
Attached is the missing image;
Step-by-step explanation:
From the image attached;
The height of the triangle T is = 5 units
Base of triangle T = 4 units
Since the two triangles are scaled versions;
Area of a triangle = 1/2 × h × b
For triangle R;
Area = 40 = 1/2 × h × b
hb = 80
And, h : b = 5:4
h= 5/4 b
5/4 ×b × b = 80
b^2 = 64
b = 8
h = 5/4 × 8 = 10
The height of the triangle R = 10 units
Base of triangle R = 8 units
Scale factor = h2/h1 = 5/10 = 1/2
Scale factor = 1/2
