If the base and height of the right-angle triangle ABC are both reduced by two units. Determine the area of the newly formed triangle.
A
3unit2
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B
4unit2
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C
5unit2
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D
6unit2
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Solution
The correct option is A3unit2 Given,
Base of a traingle =BC=8
Height of a traingle =AB=3
The base and height of right angle triangle ABC is decreased by 2 unit.
Hence,
Base of a new traingle =BC=8−2=6
Height of a new traingle =AB=3−2=1
For the given triangle DBE right angled at B.
As we know,
Area of a new right triangle =12×base×height. ∴ Area △ABC=12×6×1=3unit2
Option (a) is correct.