Area of a right triangle is 54 . If one of its legs is 12 cm long, its perimeter is
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Answer:
36 cm
Step-by-step explanation:
½ x base x height ( or ½ x b x h ) = 54
=) ½ x b x 12 = 54
=) b x 6 = 54
=) b = 9
We get base to be of 9 cm long.
Now,
by Pythagoras theorem,
Hypotenuse2 = Base2 + Height2
= 9 square+ 12 square
= 81 + 144
= 225
= 15 square
=) Hypotenuse = 15
Therefore, perimeter = sum of sides
= 9 cm + 12 cm + 15 cm
= 36 cm
Hope this helps you.
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