Question

question 9 (fw - the blank worth 1 point) if the cos of angle x is 8/17 and the triangle was dilated to be two times as big as the original, what would be the 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. answer for blank 1

Explanation:

Step1: Recall property of dilation

Dilation of a triangle preserves the angles.

Step2: Determine cosine value

Since angles are preserved, $\cos x$ for the dilated triangle is the same as for the original triangle. Given $\cos x$ of the original triangle is $\frac{8}{17}$, so for the dilated triangle $\cos x=\frac{8}{17}$.

Answer:

$\frac{8}{17}$