triangle

Question

The perimeter of a right angled triangle is 60 cm,its hypotenuse is 26 cm.what is the area of the triangle?

Answer 1

a(base)+b(height)+c(hypotenus)=60

a+b+26=60
a2+b2=26*26      eq. . 1
a+b=34

a2+b2+2ab=34*34

26*26+2ab=34*34

a*b=240

Area of right angle triangle=1/2base*height

=1/2(a*b)
=1/2(240)
120

Comments

Answer is 120 cm given