Question

perimeter of a right angled triangle is 60cm and hypotenuse is 25cm find the area of that triangle

Answer 1

let height be a and base be b..
by Pythagoras theorem..
${a }^{2} + {b}^{2} = {25}^{2}$
${(a + b)}^{2} - 2ab = 625$
${35}^{2} - 2ab = 625$
$1225 - 625 = 2ab$
$600 \div 2 = ab$
$ab = 300$
area of triangle=1/2 *base*height
=1/2 *a*b
=1/2 *300
=150
$150 {cm}^{2}$

Answer 2

Answer:

${150}m^{2}$