asked 21.7k views
1 vote
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 length of side one. How long is each side

asked
User Jwhat
by
7.5k points

1 Answer

3 votes

Answer:side one is 8cm

Side 2 is 8cm

Side 3 is 15 cm

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

answered
User Alex Stoddard
by
8.0k points

Related questions

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.