One side of a right angled triangle measures 12cm and the difference between the hypotenuse and the other side is 8cm. The area of the triangle is

Answer: 30cm2
Explanation

b=12, c−a=8

a2+b2=c2

⇒b2=(c−a)(c+a)

⇒144=8×(c+a)

Solving we get, c = 13 cm, a = 5cm

Area of triangle =21×12cm×15cm=30cm2


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