We are given that a kite has the shape of the following figure.
We are asked to find the width of the kite. To do so, we need to find the length of the shorter of the figure. Let's start by taking a closer look at the diagram.
Notice that the shorter diagonal consists of two equally long segments. We can see that one of the segments is a of a . Let's use the to find the second leg of the triangle.
a^2+ b^2= c^2
In the formula, a and b are the lengths of the legs and c is the length of the of a right triangle. In our triangle, a= 25 and c= 47.
Let's substitute these values into the formula and solve for the value of b.
a^2+b^2=c^2
25^2+ b^2= 47^2
625+b^2=2209
b^2=1584
sqrt(b^2)=sqrt(1584)
b=sqrt(1584)
b=39.799497...
b≈ 39.8
We got that the value of b is equal to about 39.8. Now we can calculate the length of the diagonal of the figure.
We can see that the length of the shorter diagonal is twice the length of b.
2* b = 2* 39.8 = 79.6
Therefore, the width of the kite is about 79.6 centimeters.
