Question

the perimeter of a rights angled triangle is 60cm and its hypotenuse is 26 cm .the othersides of the triangle are 10 cm and 24 cm .alai area of the triangle is 120 cm ^2​

Answer 1

Step-by-step explanation:

Given the perimeter of the right-angle triangle is 60 m and the hypotenuse is 26 cm

Let the base and height of the right-angle triangle is a and b cm

Then a

2

+b

2

=(26)

2

∴a+b+

a

2

+b

2

=60⇒a+b+26=60⇒a+b=60−26⇒a+b=34

∴(a+b)

2

=(34)

2

⇒a

2

+b

2

+2ab=1156⇒2ab=1156−(26)

2

=1156−676=480⇒ab=240

Then area of right angle triangle =

2

1

ab=

2

1

×240=120cm

2