Work out the area of triangle ABC.
1 answer:
Answer:
A = 4 cm²
Step-by-step explanation:
The area of a triangle is calculated as
A =
bh ( b is the base and h the perpendicular height )
b = AC = 3
+
= 4
h = BD
Calculate BD using Pythagoras' identity in Δ ABD
BD² = AB² - AD²
= (2
)² - (3
)²
= 20 - 18 = 2 ( take square root of both sides )
BD = 
Then
A =
× 4
×
= 2 ×
×
= 4 cm²
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