Answer:
D. [tex]34.8+b=54.6[/tex]
Step-by-step explanation:
We have been given an image of a scalene triangle. We are asked to find the equation that can be used to find the value of “b".
We know that perimeter of a triangle is sum of three side lengths of the triangle.
Upon adding the measure of side lengths for our given triangle, we will get:
[tex]\text{Perimeter}=a+3a+b[/tex]
Combining like terms we will get,
[tex]\text{Perimeter}=4a+b[/tex]
Substituting the value of perimeter and 'a' in above equation we will get:
[tex]54.6=4\times 8.7+b[/tex]
[tex]54.6=34.8+b[/tex]
[tex]34.8+b=54.6[/tex]
Upon looking at our given choices, we can see that option D is the correct choice.
Answer:
Option D) b + 34.8 = 54.6 is the equation can be used to find the value of b.
Step-by-step explanation:
We are given the following information in the question:
Perimeter of scalene triangle = 54.6 cm
The sides of triangle given are b, a and 3a.
Thus, we can write that:
[tex]\text{Perimeter of Triangle = Side 1 + Side 2 + Side 3} = b + a + 3a = 54.6~cm[/tex]
We are given that a = 8.7 cm
Putting this value, we have:
[tex]b + a + 3a = 54.6~cm\\b + 8.7 + 3(8.7) = 54.6\\b + 8.7 + 26.1 = 54.6\\b + 34.8 = 54.6\\b = 54.6 - 34.8\\b = 19.8~cm[/tex]
Thus, Option D) b + 34.8 = 54.6 is the equation can be used to find the value of b.
