To calculate: The perimeter of the given

Answer to Problem 25RP
The perimeter of the given triangle is 30 cm
Explanation of Solution
Given information:
One side of the triangle is 4 cm shorter than a second side
The ray bisecting the
Formula used:
Perimeter is sum of sides
Ratio of corresponding sides of the triangles are equivalent
Calculation:
In the figure,
Let BC be x cm then AB will be ( x − 4) cm
Ray BD divides
Triangles ABD and DBC are similar because
AAA criteria of similarity is satisfied
Therefore, ratio of corresponding sides will be equivalent
Hence,
And perimeter of triangle
At x = 12,
Perimeter = 2.12+6=30 units
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