the perimeter of right triangle is 60 cm and its hypotenuse is 25 cm.find the area of the triangle.
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Let a, b, c be base, height and hypotenuse respectively. You have c=25 and a+b=35 and a²+b²=c²=25². Here the area of triangle is ½ab. Then (a+b)²=35² ⇒ 2ab=35²-(a²+b²) ⇒ 2ab=4(30)(5) ⇒½ab=150. Hence area of triangle is 150 sq. units
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