Answer:
24
Step-by-step explanation:
[tex] {ba}^{2} = {bc}^{2} - {ac}^{2} \\ {ba}^{2} = {10 }^{2} - {8}^{2} \\ ba = \sqrt{100 - 64} \\ ba = \sqrt{36 } \\ ba = 6[/tex]
Area of triangle = 1/2 × AC × BA
= 1/2 × 8 × 6
= 48/2
= 24 in²
