Find the area of a right triangle whose base is 1.2 and hypotenuse 3.7m.
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Given:-
Base = 1.2 m
Hypotenuse = 3. 7 m
Height =?
By Pythagoras theorem, we have
Hypotenuse2 = Base2 + Height2
Height2 = Hypotenuse2 – Base2
Height2= 3.72 – 1.22
Height2 = 13.69 – 1.44
Height2 = 12.25
Height = √12.25
Height = 3.5 m
Then,
Area of right triangle = (1/2) × base × height
= (1/2) × 1.2 × 3.5 = 0.5 × 1.2 × 3.5 = 2.1 m2
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