Respuesta :

Answer:

Step-by-step explanation:

AB=BC=AC=4√2

Height AD=√[(4√2)²-(2√2)²]=√(32-16)=√16=4

Area=1/2 ×4√2×4=8√2 cm²

rvkacademic

Answer:

≈ 13.8564 square cm

Step-by-step explanation:

This is an equilateral triangle whose area is given by [tex]\frac{\sqrt3}{4} a^2[/tex] where a is the length of each side

Since a = 4√2 cm

a² = (4√2)² = 4² (√2)² = 16(√2)² cm²
(√2)² = 2

So a² =(16)2 = 32 cm²

Area = (√3) (32/4) = (√3)(8) ≈ 13.8564 square cm