Question

If these two shapes are similar, what is the measure of the missing length g?

Answer 1

To find the missing length g in two similar shapes, set up a proportion using the lengths of the corresponding sides and solve for g.

Step-by-step explanation:

To determine the measure of the missing length g, we need to use the concept of similarity between two shapes. Similar shapes have corresponding angles that are congruent and corresponding sides that are proportional. Since the two shapes are similar, we can set up a proportion to find the missing length g.

Let's say the length of the known side in the larger shape is L1 and the length of the corresponding side in the smaller shape is L2. Similarly, let the length of the known side in the smaller shape be S1 and the length of the missing side in the smaller shape be S2.

We can set up the proportion L1/L2 = S1/S2 to find the value of S2. Since we are looking for the missing length g, we can substitute S2 with g in the equation. Solving for g, we get g = (L1 * S2) / L2.

Answer 2

So if the shapes are similar, they have to have a number multiple from to get the other triangle. If you divide 63 by 42, you get 1.5. Then you have to divide 54 by 1.5 to get G and that would be 36.