the area of the kite is 572cm2, the length of the longer diagonal is 44cm. find the length of the shorter diagonal.
The area of a kite is 1/2 the product of the diagonals.
So, if the shorter diagonal has length x, then
44x/2 = 572
Now just solve for x
To find the length of the shorter diagonal of the kite, we can use the formula for the area of a kite. The formula for the area of a kite is given by:
Area = (d1 * d2) / 2,
where d1 and d2 are the lengths of the diagonals.
We are given that the area of the kite is 572 cm^2 and the length of the longer diagonal (d2) is 44 cm.
Plugging in the values into the formula, we have:
572 = (d1 * 44) / 2.
Multiplying both sides by 2 gives:
1144 = d1 * 44.
Dividing both sides by 44 gives:
d1 = 1144 / 44.
Simplifying this, we have:
d1 = 26.
Therefore, the length of the shorter diagonal (d1) is 26 cm.
To find the length of the shorter diagonal of a kite, we will use the formula for the area of a kite.
The area of a kite is given by the formula:
Area = (1/2) * d1 * d2
where d1 and d2 are the lengths of the longer and shorter diagonals, respectively.
We are given that the area of the kite is 572 cm^2 and the length of the longer diagonal (d1) is 44 cm. We need to find the length of the shorter diagonal (d2).
Substituting the given values into the formula, we have:
572 = (1/2) * 44 * d2
To solve for d2, we can first simplify the equation:
572 = 22 * d2
Next, divide both sides of the equation by 22:
d2 = 572 / 22
Using a calculator, we find:
d2 ≈ 26.