Use proportions to find the missing side length x in the two similar figures
To find the missing side length x in two similar figures, you can set up a proportion.
Let's say we have two similar figures, Figure A and Figure B, and we know the side lengths of one of the figures, but we are missing the corresponding side length in the other figure.
We can set up the proportion as follows:
(side length of Figure A) / (side length of Figure B) = (missing side length of Figure A) / (missing side length of Figure B)
Let's use an example to illustrate this.
Suppose we have Figure A and Figure B. We know that one side length of Figure A is 4 units, and we are missing the corresponding side length of Figure B, denoted by x.
We set up the proportion as follows:
4 / x = (missing side length of Figure A) / (missing side length of Figure B)
Now, we can solve for x by cross-multiplying and solving for x:
4 * (missing side length of Figure B) = (missing side length of Figure A) * x
4 * (missing side length of Figure B) = 4 * x
(missing side length of Figure B) = x
So, in this example, the missing side length of Figure B is x.