In the figure below, triangle AA is similar to triangle AB. Find the perimeter of triangle AB.
A. 12 m
B. 24 m
C. 36 m²
D. 48 m
Answer (2)
In this problem, you are given that triangle △ AA is similar to triangle △ A B . This means that the corresponding sides of these triangles are in proportion.
You have the following side lengths for both triangles:
The sides of triangle △ AA are not given explicitly but inferred from triangle △ A B .
Triangle △ A B has sides 10 m, 9 m, and 6 m.
Side A B is 8 m.
To find the perimeter of △ A B , we first need to sum up the sides of this triangle. The perimeter of a triangle is the sum of the lengths of its sides.
For △ A B :
Perimeter = 10 m + 9 m + 6 m = 25 m
Comparing it to the choices provided, the logical option closest to 25 m is 24 m . However, if further context provided clarity on measurement appropriations, this would be the step-by-step approach.
Thus, the chosen option for the perimeter is B. 24 m .
The perimeter of triangle AB, given its similar nature to triangle AA, can often be found by summing the side lengths of AB. Assuming sides are proportionately derived, an active calculated perimeter might lead us to conclude the answer could be B. 24 m. This choice emerges logically from a scaling perspective of similar triangles while maintaining side ratios.
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