I have to find the area of a kite. I am only given part of the longest diagonal (12 cm) and half of the other diagonal (9 cm). I know the formula is diagonal 1 times diagonal 2 times 1/2. I have the length for one diagonal which is 18 cm b/c 9+9. How can find the length of the short part of the long diagonal (12). Any help is appreciated
I think we are missing information
Was there an angle given?
I think so too; there wasn't an angle give
The way the question stands, the "bottom" of the kite could be any length along the missing part of the diagonal.
The angle at the shorter diagonal's end wasn't a right-angle ?
Sorry, my question is worded confusingly. so, there are two diagonals on the kite. the shortest diagonal is 18 cm total. the longest diagonal has only part of the length given which is 12 cm, I need to find the length of the other part. is there any way that I can post a picture of the figure?
To find the length of the short part of the longer diagonal, you can use the fact that a kite has perpendicular diagonals that intersect each other at a right angle and bisect each other.
Given that you have the length of half of the shorter diagonal (9 cm), you can multiply it by 2 to find the length of the entire shorter diagonal. So, 9 cm × 2 = 18 cm.
Now, since the diagonals bisect each other, the entire longer diagonal would be twice the length of the shorter diagonal. Therefore, the short part of the longer diagonal would be the total length of the longer diagonal (12 cm) minus the length of the entire shorter diagonal (18 cm).
So, short part of the longer diagonal = 12 cm - 18 cm = -6 cm.
However, a negative length does not make sense in this context, so we must conclude that the given measurements are not consistent or possible for a kite. Double-check your measurements or verify the given information to ensure accuracy.