Math, asked by kl23ijas, 3 days ago

the hyptenuse of a right triangle is 12 1/2 cm and its area is 21 sq cm calculate the perpendicular sides​

Answers

Answered by rajeev442000
1

Answer:

I dont know the answer sorry but I give you hint

Perimeter of right triangle = 72

a+b+c= 72 _____________ (1)

its area = 216

2

1

ba=216

ba=432 ___________ (2)

∴c

2

=a

2

+b

2

(By pythagoras theorem )

(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ac

(72)

2

=c

2

+c

2

+2ab+2bc+2ac

5184=2c

2

+2ab+2bc+2ac

5184=2c

2

+2ab+2c(b+a)

5184=2c

2

+2ab+2c(72−c)

5184=2c

2

+2ab+144c−2c

2

5184=2ab+144c

5184=2×432+144c

c=

144

9320

c=30

putting c in equation (1)

a+b+c=72

a+b=72-30

a+b=42.

Similar questions