Question

0.35: Reshma wishes to fit three rods in the shape of a right triangle. The hypotenus
hypotenuse is to be 2cm longer
than The base and 4cm longer than the altitude. What should be the length of rod​

Answer 1

Answer:

The lengths of the rods are 8, 6 and 10

Step-by-step explanation:

Let the base length be = x

Therefore the hypotenuse will be = x+2

The altitude is (x+2)-4 = x-2

Using Pythagoras Theorem,

x^2 + (x-2)^2 = (x+2)^2

x^2 = (x+2)^2 - (x-2)^2

x^2 = (x+2 +x-2)(x+2-x+2)

x^2 = 2x(4)

x^2 = 8x

x = 8

Therefore base is 8

Altitude = 8-2 = 6

Hypotenuse = 8+2 =10

Hope it helps!