The perimeter of the triangle ΔABC will be 54 units.
What is the triangle?
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
In the diagram below, AC is parallel to RP.
The triangle ΔABC and ΔRBP are the similar triangles.
Then the ratio of their corresponding sides will be
BP / 10 = 7 / 14
Simplify the equation, then the value of BP will be
BP = 7 x 10 / 14
BP = 70 / 14
BP = 5
Then the perimeter of the triangle ΔABC will be
The perimeter is the sum of all the sides of the triangle.
P = AB + BC + CA
P = AR + RB + BP + PC + CA
P = 14 + 7 + 5 + 10 + 18
P = 54 units
Thus, the perimeter of the triangle ΔABC will be 54 units.
More about the triangle link is given below.
https://brainly.com/question/25813512
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