Question

He perimeter of the scalene triangle is 54.6 cm.

A scalene triangle where all sides are different lengths. The base of the triangle, labeled 3 a, is three times that of the shortest side, a. The other side is labeled b.

Which equation can be used to find the value of b if side a measures 8.7 cm?

Answer 1

54.6 - (8.7 + 3*8.7) = b

Explanation:

we know the value of a

a = 8.7

the side '3a' is 3 times a

3*8.7 = 26.1

now the definition of perimeter is all the sides added up together :

side a + side 3a + side b = 54.6

8.7 + 26.1 + b = 54.6

34.8 + b = 54.6

b = 19.8

or

side a + side 3a + side b = 54.6

side 4a + side b = 54.6

4*8.7 + b = 54.6