If the cos of angle x is eight seventeenths and the triangle was dilated to be two times as big as the original, what would be t
he value of the cos of x for the dilated triangle? Clue: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces.
2 answers:
Answer:
8/17
Explanation:
The cos of angle x is eight seventeenth and the triangle was dilated to be two times as big as the original:
Cos x = 8/17
Let the original triangle be ∆ABC
Dilated triangle be ∆DEF
Find attached the diagram.
All sides of the triangle are scaled by the same factor when we apply a dilation.
DE = 2 × AB
EF = 2 × BC
DF = 2 × AC
∠A = ∠D
∠B = ∠E
∠C = ∠F
Dilation also known as scaling does not affect angle measure. The angle measures remain the same.
Therefore, The value of the cos of x for the dilated triangle = 8/17
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