The triangle below has been reduced by a scale of 0.4. A large triangle has a base of 30 centimeters and height of 10 centimeters. A smaller triangle does not have dimensions provided. What is the area of the reduced triangle? 24 centimeters squared 60 centimeters squared 75 centimeters squared 375 centimeters squared

24 centimeters squared(cm²)

Step-by-step explanation:

The triangle below has been reduced by a scale of 0.4.

A large triangle has a base of 30 centimeters and height of 10 centimeters.

Hence, reducing the large triangle by the given scale ratio, we have :

Height = 10cm × 0.4 = 4cm

Base = 30cm × 0.4 = 12 cm

Hence, the area of the smaller triangle

= Area = 1/2 × Base × Height

Height = 4 cm

Base = 12 cm

Area = 1/2 × 4 × 12

= 24 cm²

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