The length of first side of a scalene triangle is 2 cm more than that of third side and
the length of second side is 5 cm less than twice that of the third side. If the perimeter
of the triangle is 29 cm, determine the length of the sides of the triangle.
Answers
Answer:
side 1 = 10, side 2 = 11, side 3 = 8
A scalene triangle is a triangle that has three unequal sides.
The perimeter of a scalene triangle is the sum of the length of the 3 sides.
Define x:
Let the first side of the scalene triangle = x
1st side = x
The first side is 2 cm more than that of the third side:
3rd side = x - 2
The length of the second side is 5 cm less than twice that of the third side:
2nd side = 2(x - 2) - 5
Given that the perimeter is 29:
x + (x - 2) + 2(x - 2) -5 = 29
Solve x:
x + (x - 2) + 2(x - 2) -5 = 29
x + x - 2 + 2x - 4 - 5 = 29
4x - 11 = 29
4x = 40
x = 10
Find the lengths of the triangle:
1st side = x
1st side = 10 cm
2nd side = 2(x - 2) - 5
2nd side = 2(10 - 2) - 5
2nd side = 11 cm
3rd side = x - 2
3rd side = 10 - 2
3rd side = 8 cm
Answer: The sides are 10 cm, 11 cm and 8 cm