To find the lengths of the sides of the triangle.
Answer to Problem 63E
The lengths of the sides of the triangles are
And the longest side is
Explanation of Solution
Given information:
The perimeter of a triangle is 180 feet.
The longest side of the triangle is 9 feet shorter than twice the shortest side.
The sum of the length of the two shorter sides is 30 feet more than the length of the longest side.
Calculation:
Let the sides of the triangle are x, y, z.
And x is a longest side and y is the shortest side.
Now, the perimeter of a triangle is the sum of the all sides.
The longest side of the triangle is 9 feet shorter than twice the shortest side.
So,
The sum of the length of the two shorter sides is 30 feet more than the length of the longest side.
Substitute
Substitute
Substitute
So, the lengths of the sides of the triangles are
And the longest side is
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
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