Question

Pavan wants to fit three rods together in the shape of a right angled triangle. The hypotenuse

is to be 2cm. longer than the base and 16cm. longer than the altitude. Find the length of each

rod​

Answer 1

Answer:

Step-by-step explanation:

base=x

altitude=y

hypotenuse=x+2=16+y

                   x-y=14     -----(1)

x²+y²=(x+2)²        by pythogoras theorem

x²+y²=x²+4+4x

y²=4+4x

y²=4(1+x)           ------(2)

from(1)    x=14+y   ------(3)

sub (3)in (2)

y²=4(1+14-y)

y²=4+56-4y=60-4y

y²+4y=60

y=6

sub y=6 in (1)

x=20

the size of the rods are 20cm ,6cm,22cm

THANK YOU