One side of a triangle is 1 in. longer than the shortest side and is 1 in. shorter than the longest side. The perimeter is 17 in. What are the dimensions of the triangle?
2 Answers
Measure of the three sides of the triangle
Explanation:
The sides are a, b, c.
Given a = b - 1 as also c = b + 1;
Further perimeter
Measure of the three sides of the triangle is
Explanation:
Suppose the shortest side of the triangle =
Then the other side is
Therefore, the longest side =
It is given that the perimeter = 17 in.
and, as perimeter is the sum of all the sides, it can be written in an equation form as:
or,
or,
or,
and,
and,