Solution:
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
