Question

The 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

Answer:

4(8.7) + b = 54.6.

b = 19.8 cm.

Step-by-step explanation:

The sum of the sides = the perimeter = 3a + a + b = 54.6.

Now a = 8.7, so:

3(8.7) + 8.7 + b = 54.6

4(8.7) + b = 54.6.

b = 54.6 - 4(8.7)

b = 19.8.

Answer 2

Answer with Step-by-step explanation:

The perimeter of the scalene triangle is 54.6 cm.

The base of the triangle is 3a

where a is the shortest side

and other side=b

We know that perimeter is equal to sum of length of each side

i.e. 3a+a+b= 54.6

i.e. 4a+b= 54.6

i.e. b= 54.6-4a

when a=8.7 cm

b= 54.6-4×8.7

 = 54.6-34.8

 = 19.8

Hence,

Equation used to find b is:

b= 54.6-4a

and value of b when a=8.7 cm is:

b= 19.8 cm