Question

Find the area of a right angled triangle whose hypotenuse is 25 cm and perimeter is 60 cm

Answer 1

Answer:

given:

perimeter=60cm

hypotenuse=25cm

area?

formula:

perimeter=2(b+h)

area=1/2(b*h)

ans:

perimeter=60=2(b+h)

b+h=30

b=30-h

hypotenuse=√{(30-h)^2+h^2}

625={(3600+2(h^2)+60h)}

0=2(h^2)+60h+2975

(h-15)(h-15)=0

h=15

b+15=30

b=15

area=1/2(15*15)

area=112.5cm^2