Answer:
The length of shortest side of a triangle=6 inches.
Step-by-step explanation:
The sides of a triangle is given in the ratio-- 2:6:7.
Let 'x' be variable such that:
The length of first side of a triangle=2x
Length of second side of a triangle=6x
and Length of third side of a triangle=7x.
also we are given that Perimeter of triangle=45 inches.
Perimeter is the sum of lengths of all the sides of a triangle i.e.
2x+6x+7x=45 inches
⇒ 15x=45
⇒ x=3 (dividing both sides by 15)
Hence, the length of first side of triangle=2x=2×3=6 inches
Length of second side of a triangle=6x=6×3=18 inches
Length of third side of a triangle=7x=7×3=21 inches.
Hence, the length of shortest side of a triangle=6 inches.
