The answer is 13.
Because this is a kite, the diagonals intersect perpendicularly or with a 90° angle.
In the triangle DIC, which is a right triangle, the legs are 5 and 12. To find the hypotenuse, we use Pythogarean theorem:
Plug in the givens:
Take the squares:
Take the square root of both sides:
We find the line segment DC. In the question it says "BD = DC". So BD is equal to 13.
Because this is a kite, the diagonals intersect perpendicularly or with a 90° angle.
In the triangle DIC, which is a right triangle, the legs are 5 and 12. To find the hypotenuse, we use Pythogarean theorem:
Plug in the givens:
Take the squares:
Take the square root of both sides:
We find the line segment DC. In the question it says "BD = DC". So BD is equal to 13.