Question

4. The perimeter of a night triangle is 60 cm and its hypotenuse is 26 cm The other twosides of the triangle are (a) 24 cm. 10 cm (b) 25 cm. 9 cm (c) 20 cm. 14 cm (d) 26 cm. Nem​

Answer 1

Answer:

Step-by-step explanation:

120 cm

2

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