Triangle STV was dilated with the origin as the center of dilation to form Triangle S'T'V'. On a coordinate plane, triangles S T
2 answers:
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Answer:
option D is true.
Step-by-step explanation:
The right-angled triangle is shown.
From the right-angled triangle,
The angle Ф = 60°
We know that the trigonometric ratio
tan Ф = opposite / adjacent
- opposite = 4
- adjacent = n
Thus,
tan 60 = 4 / n
√3 = 4/n
n = 4/√3
Thus,
n = 4/√3
= (4 × √3) / (√3 × √3)
= 4√3 / 3
Thus,
n = 4√3 / 3
Using Pythagorean theorem
m = √n²+4²
Thus,
- n = 4√3 / 3
Therefore, option D is true.
Euler's formula for a polyhedron is given by:
Make E, the subject of the formula:
Put F = 20, V = 12, to obtain E,
Therefore, there are 30 edges