Respuesta :

Answer:

A = 24 cm²

Step-by-step explanation:

The area (A) of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] × AB × AC

Calculate AC using Pythagoras' identity

AC² + AB² = BC²

AC² + 6² = 10²

AC² + 36 = 100 ( subtract 36 from both sides )

AC² = 64 ( take the square root of both sides )

AC = [tex]\sqrt{64}[/tex] = 8

Then

A = 0.5 × 6 × 8 = 24 cm²