There are 3 length giving 1,2,3 cm so why we taken aslo longer length in any base.like 3 cm
Answers
Step-by-step explanation:
Let the length of the shortest piece be x cm .
Then the length of the second piece and the third piece are (x+3) cm and 2x cm respectively.
Since the three lengths are to be cut from a single piece of board of length 91 cm,
x+(x+3)+2x ≤ 91
⇒4x+3≤91
⇒4x≤91−3
⇒4x≤88
⇒
4
4x
≤
4
88
⇒x≤22-----(i)
Also the third piece is at least 5 cm longer than the second piece.
∴2x≥(x+3)+5
⇒2x≥x+8
⇒x≥8....(2)
From (1) and (2) we obtain
8≤x≤22
Thus the possible length of the shortest board is greater than or equal to 8 cm but less than or equal to 22 cm.
Step-by-step explanation:
Because the shortest side is the one opposite the smallest angle. If the angle you already know is the shortest one, then the shortest side is opposite it. ... The hypotenuse is always the longest side in a right triangle because it is opposite of the largest angle, the ninety degree angle.