The perimeter of a triangle is 31cm. Side one and two have an equal length, while side three is one cm shorter then twice the le

Question

3 years ago

7

ngth of side one. How long is each side

1 answer:

Sav [38] · Answer 1 · 2022-02-12T08:32:51+03:00

Answer:side one is 8cm

Side 2 is 8cm

Side 3 is 15 cm

Step-by-step explanation:

The perimeter of a shape is the distance around the shape. The perimeter of a triangle is the sum of the sides of the triangle.

Let x represent the length of side one and side 2. Since they have equal length, the sum of their length is x + x = 2x cm

Side three is one cm shorter then twice the length of side one. This means that the length of side three would be 2x - 1

The perimeter of a triangle is 31cm. Therefore,

2x + 2x - 1 = 31

4x - 1 = 31

4x = 31 + 1 = 32

x = 32/4 = 8 cm

Side three = 2×8 - 1 = 16 - 1 = 15