Maths-
General
Easy
Question
The lengths of the two sides of right triangle containing the right angle differ by 2 cm. If the area of triangle is 24 cm2. Find the perimeter of triangle
Hint:
Sides containing right angle are height and base.
The correct answer is: 24 cm
It is given that difference between perpendicular and base = 2 cm
i.e. b – h = 2 ⇒ b = 2 + h
Now, Area of triangle = 24 cm2
= 24
= 48
h2 + 2h – 48 = 0
h = 
h = 
h = 6 , - 8
Since, perpendicular is always positive so h = 6
Base, B = 2 + 6 = 8
Using Pythagoras theorem ,
H2 = B2 + P2
H2 = 82 + 62 = 64 + 36 = 100
H = 
= 10 cm
Perimeter of triangle = Sum of all sides
= 8 + 10 + 6 = 24 cm
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