Video Transcript
Find the perimeter of the right
triangle shown in the diagram.
We know that the perimeter of any
shape is the distance all the way around the shape. In the case of this triangle, since
all three sides have a different length, we need to add those three sides
together. Side one has a measure of three 𝑥
plus side two, 𝑥 plus three, plus side three, two 𝑥 plus seven. Since we’re only dealing with
addition, we can regroup the terms however we would like. And we want to group our like terms
together. Three of our terms have an
𝑥-variable. And the other two terms are whole
numbers.
We could rewrite the expression
grouping the 𝑥-terms and the whole numbers. From there, for 𝑥-terms, we can
combine these terms by combining their coefficients, which would be three plus one
plus two, which is six. And to combine the whole numbers,
of course, three plus seven is 10. Since we don’t have any information
about what 𝑥 is, we can only say that the perimeter of this shape is equal to six
𝑥 plus 10.
