The perimeter of the scalene triangle is 54.6 cm. Which equation can be used to find the value of b if side a measures 8.7 cm and side c measures 26.1 cm?
8.7 + b = 54.6
17.4 + b = 54.6
26.1 + b = 54.6
34.8 + b = 54.6

Solution:

Perimeter of a triangle is defined as the total length of its boundary.

A triangle is a polygon with 3 sides and it can be classified into different types based on the measure of its sides and angles.

There are different formulas and methods to calculate the perimeter of a triangle based on the type of triangle.

Perimeter of the scalene triangle

= 54.6 cm

a = 8.7 cm

c = 26.1 cm

The perimeter of the triangle can be written as :

P = a + b + c

54.6 = 8.7 + b + 26.1

By further calculation,

54.6 = 34.8 + b

Therefore, the equation 34.8 + b = 54.6 can be used to find the value of b.

---

The perimeter of the scalene triangle is 54.6 cm. Which equation can be used to find the value of b if side a measures 8.7 cm and side c measures 26.1 cm?

Summary:

The perimeter of the scalene triangle is 54.6 cm. The equation 34.8 + b = 54.6 can be used to find the value of b if side a measures 8.7 cm and side c measures 26.1 cm.