Question

11 12 13 14 15 16 17 18 19 20 TIME REMAINING 01:51:20 Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, EG, measures 24 cm. What is the length of the other diagonal, DF? 5 cm 16 cm 21 cm 32 cm

Answer 1

We assume the figure DEFG has vertices labeled clockwise from the top, so that diagonal EG spans the distance between vertices where sides of different length meet. Then half that diagonal (12) will be one leg of two different right triangles.

One right triangle will have a hypotenuse of 20 and a leg of 12. Its other leg is found using the Pythagorean theorem as
√(20²-12²) = 16
The other right triangle will have a hypotenuse of 13 and a leg of 12. Its other leg is
√(13²-12²) = 5

Then the total length of diagonal DF is 16 + 5.

The length of the other diagonal, DF, is 21 cm.