Sasha ordered a kite online. When it arrived, the kite was missing the crossbar. What length crossbar does Sasha need to complete the kite?
A kite. The top half is an isosceles right triangle with legs of length 2 feet. The crossbar is the hypotenuse of this right triangle. The bottom half is an isosceles triangle.
2 feet
8–√
feet
4 feet
8 feet
The length of the crossbar can be calculated using the Pythagorean theorem, which states that the square of the length of the hypotenuse (crossbar) is equal to the sum of the squares of the other two sides.
In this case, the two legs of the top half of the kite are both 2 feet. Therefore, the length of the crossbar can be calculated as follows:
Crossbar length = √(2^2 + 2^2) = √(4 + 4) = √8 = 2√2 feet
So, Sasha needs a crossbar that is 2√2 feet long to complete the kite.