4. Similarity in Right Triangles
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Corresponding sides of similar triangles are proportional.
247 mm or 3 37 mm
We are told that the triangles are similar, and we want to find the value of x.
Let's identify the two pairs of corresponding sides.
Also, let's separate these triangles so that it is easier to visualize what we have described above.
Since the two triangles are similar, their corresponding sides are proportional. 4/11=x/6+x We can solve the above proportion to find the value of x. To do so, we will use the Cross Product Property.
Cross multiply
Distribute 4
LHS-4x=RHS-4x
.LHS /7.=.RHS /7.
Rearrange equation
We conclude that the value of x is 247 mm which can be written as a mixed number as 3 37.