Question

the hypotenuse of a right angled triangle is a 25 if one side is 5m more than other side find its area

Answer 1

Let one side be x.

Hence second one is (x+5).

By Pythagoras Theorem,

=) x^2 + (x+5)^2 = 25^2

=) x^2 + x^2 + 10x + 25 = 625

=) 2x^2 + 10x = 600

=) 2(x^2 + 5x) = 600

=) x^2 + 5x = 300

=) x^2 + 5x - 300 = 0

=) x^2 + 20x - 15x - 300 = 0

=) x(x+20) - 15(x+20) = 0

=) (x-15)(x+20) = 0

Hence x = 15 and - 20.

Take positive no. as a zero because it's understandable.

Hence x = 15 and other side be 15+5 = 20m

Area = 1/2 * b*h

= 1/2 * 15 * 20 m^2

= 150m^2.

Hope it's helpful to u.

Answer 2

Do the area will be 150 m2

Hope this was helpful

Then please mark my answer as brainliest