The ratio of the figure is [tex]\frac{a}{j} =\frac{c}{k} .[/tex]
Step-by-step explanation:
Step 1:
The given figure of two triangles. A smaller triangle and a larger triangle. The smaller triangle has sides measuring a and c. The second and larger triangle has sides measuring (a + b) and (c + d).
From the given diagram, we have
[tex]j = a+b[/tex] and [tex]k=c+d.[/tex]
So the second larger triangle has sides measuring j and k.
Step 2:
If a ratio is given, both sides of the ratio must have the corresponding side lengths of the given triangles.
On the left side of the ratio, we have the terms a and j, which are the side lengths of the smaller and larger triangles respectively.
Similarly, the right side has a ratio of c and an unknown term. The term c is the length of the smaller triangle whereas k is the length of the larger triangle.
So the ratio of the figure is [tex]\frac{a}{j} =\frac{c}{k} .[/tex]
