Question 28: Knowing the lengths of the sides of a triangle is proportional to 3.5,7. Find the length of the largest side of the triangle. Assume that the largest side is 8cm longer than the smallest side.

Let the lengths of the sides of the triangle in increasing order be: a,b,c(a,b,c>0)

According to the output we have:

\(\begin{array}{l} \frac{a}{3} = \frac{b}{5} = \frac{c}{7}\\ c – a = 8. \end{array}\ )

Applying the property of the sequence of equal ratios, we have:

\(\begin{array}{l} \frac{a}{3} = \frac{b}{5} = \frac{c}{7} = \frac{{c – a}}{{7 – 3}} = \frac{8}{4} = 2\\ \to a = 2.3 = 6;b = 2.5 = 10;c = 2.7 = 14 \end{array}\)

So: the lengths of the sides of the triangle are: 6cm; 10cm; 14cm respectively.

The answer to choose is: GET