Question

the figure is a kite. what is the length of the kites longer diagonal?

5 units
35 units
40 units
48 units

Explanation:

Identify the geometric properties

Using the Kite Properties knowledge point

• A kite's diagonals are perpendicular.
• The horizontal diagonal is bisected into two segments of length \(12\).
• The vertical diagonal is the longer diagonal, split into two segments \(y_1\) (top) and \(y_2\) (bottom).

Calculate the top vertical segment

Using the Pythagorean Theorem and Pythagorean Triples knowledge points

$$
LATEXBLOCK0
$$

Calculate the bottom vertical segment

Using the Pythagorean Theorem and Pythagorean Triples knowledge points

$$
LATEXBLOCK1
$$

Find the total length of the longer diagonal

Using the Kite Properties knowledge point

$$
LATEXBLOCK2
$$

Answer:

• 5 units
• 35 units
• 40 units (Correct answer)
• 48 units