Calculate Kite Area: Given Diagonal DB=10 and Side CB=4

Question

Look at the kite ABCD below.

Diagonal DB = 10

CB = 4

Is it possible to calculate the area of the kite? If so, what is it?

444101010AAADDDCCCBBB

Video Solution

Solution Steps

00:00 Can we calculate the area of a kite? And if so, what is it?
00:03 We'll use the formula to calculate the area of a kite
00:07 (diagonal times diagonal) divided by 2
00:11 Let's substitute appropriate values according to the given data and try to solve
00:15 We have no way to know the length of diagonal AC, therefore there is no solution
00:19 And this is the solution to the question

Step-by-Step Solution

To determine if we can calculate the area of the kite, let's consider the steps we would use given complete data:
To calculate the area of a kite, we typically use the formula:

Area=12×d1×d2 \text{Area} = \frac{1}{2} \times d_1 \times d_2

where d1 d_1 and d2 d_2 represent the lengths of the kite's diagonals.

In this case:

  • We are given that diagonal DB=d1=10 DB = d_1 = 10 cm.
  • However, we lack the length of the other diagonal, AC=d2 AC = d_2 .

Without knowing AC AC , we cannot apply the formula to calculate the area. Thus, given the information provided, it is not possible to determine the area of the kite.

Therefore, the solution to the problem is: It is not possible.

Answer

It is not possible.