Question

Determine a área do losango ABCD

Answer 1

a)
A = d. D/2
A = 12. 16/2
A= 12. 8 = 96 dm² ✓

b)
A = d. D/2
A = 2√3. 2√6/2
A = 2√3. √6
A = 2√18 =2√(9).2=2(3)√2 = 6√2 dm² ✓

c)
(D/2)² + 4² = 12²
D²/4 + 16 = 144
D²/4 = 128
D² = 512
D = √512 = √256.2 = 16√2

A = d. D/2
A = 8. 16√2/2
A = 8. 16√2/2 = 8. 8√2 = 64√2 dm² ✓