Question

the perimeter of a triangle is 31 cm sides #1 and #2 have equal length, while side #3 /is one centimeter shorter than twice the length of side #1. how long is each side?

Answer 1

answers are at down

Explanation:

The perimeter of a triangle is 31 cm. Sides #1 and #2 have equal length, while Side #3 is one centimeter shorter than twice the length of Side #1. Let's determine how long each side is: a. Let x represent the length of Side #1. What essential part of this "let" statement is missing? What is the length of Side #2? Side #3? b. Write a mathematical sentence that states that the perimeter is 31 cm. c. Solve the equation you found in part (b) and determine the length of each side. Be sure to label your answers with the appropriate units.

Answer 2

8 cm, 8 cm, 15 cm

Explanation:

The given relationships between the sides can be used to write an equation. Let s represent the length of side 1. Then side 2 has a length that is also s. Side 3 has length (2s-1). The perimeter is the sum of the side lengths:

s + s + (2s -1) = 31

4s = 32 . . . . . . . . . . collect terms, add 1

s = 8 . . . . . . . . . . divide by 4

(2s -1) = 2·8 -1 = 15

The side lengths are ...

1. 8 cm
2. 8 cm
3. 15 cm