Question

Kite abcd has diagonal lengths of 18 inches and 20 inches that intersect at a right angle.

Answer 1

The side lengths of kite abcd are equal to sqrt(181) inches.

Step-by-step explanation:

To find the side lengths of kite abcd, we can use the Pythagorean theorem. Since the diagonals are perpendicular, they form right triangles. Let's label the longer diagonal as 20 inches and the shorter diagonal as 18 inches.

• Let AC be the longer diagonal of length 20 inches.
• Let BD be the shorter diagonal of length 18 inches.

Using the Pythagorean theorem, we can find the length of the sides:
AC = sqrt(AB^2 + BC^2) = sqrt((20/2)^2 + (18/2)^2) = sqrt(10^2 + 9^2) = sqrt(100 + 81) = sqrt(181) inches.
BD = sqrt(AB^2 + BC^2) = sqrt((18/2)^2 + (20/2)^2) = sqrt(9^2 + 10^2) = sqrt(81 + 100) = sqrt(181) inches.