Area of a right triangle is 30 cm2
. If one of its legs is 12 cm long, its perimeter is
(1) 17 cm
(2) 20 cm
(3) 60 cm
(4) 30 cm
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Area of a right triangle is 30 cm2
. If one of its legs is 12 cm long, its perimeter is
(1) 17 cm
(2) 20 cm
(3) 60 cm
(4) 30 cm
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Verified answer
Answer :-
Given :-
To find :-
Step-by-step explanation :-
Let's proceed!
Calculations :-
We know that :-
Area of a triangle =
Here,
Area = 30 cm².
One of the legs = 12 cm.
So, let the base be 12 cm and the height be h.
Now, substituting the values in the given formula,
Multiplying 12 by h,
Multiplying by 12h,
Transposing 2 from LHS to RHS, changing it's sign,
Multiplying the numbers,
Transposing 12 from LHS to RHS, changing it's sign,
Dividing 60 by 12,
We can find the hypotenuse using the Pythagoras theorem.
So now let's use this theorem to find the hypotenuse.
Let the hypotenuse be x.
Substituting the given values in the formula,
So, the hypotenuse = 13 cm.
Now, we have the measures of all the three sides of the triangle, so let's find its perimeter.
We know that :-
Perimeter of a triangle = Sum of all sides.
Here, the sides are 12 cm, 5 cm and 13 cm.
Therefore,
Thus, the perimeter of the triangle is 30 cm.
Hence, option 4 is correct.