Question

Identify the area of the kite

Answer 1

It should be noted:

• The hypotenuse is usually the slanted line in a triangle.
• Area of a kite = pq/2 (p and q = diagonal)

Finding the missing side length of triangle₁

• 51² = 24² + x² (x = unknown side length)
• => 2601 = 576 + x² (x = unknown side length)
• => 2601 - 576 = x² (x = unknown side length)
• => 2025 = x² (x = unknown side length)
• => x = 45 m

Finding the missing side length of triangle₂

• 30² = 24² + x² (x = missing side length)
• => 900 = 576 + x² (x = missing side length)
• => 900 - 576 = x² (x = missing side length)
• => 324 = x² (x = missing side length)
• => 18 m = x

Finding the area:

• Area of a kite = pq/2 (p and q = diagonal)
• => Area of a kite = (45 + 18)(24 + 24)/2
• => Area of a kite = (63)(48)/2
• => Area of a kite = 63 x 24 = 1512 m²