Question

Finding the proportion using the figure below

Answer 1

The ratio of the figure is  $\frac{a}{j} =\frac{c}{k} .$

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

$j = a+b$ and $k=c+d.$

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  $\frac{a}{j} =\frac{c}{k} .$