The hypotenuse of a right triangle is 0.5 units long. the longer leg is 0.1 units longer than the shorter leg. find the lengths of the sides of the triangle.

The lengths of the sides of a right triangle are

Longer leg = 0.4 units.

Shorter leg = 0.3 units.

Step-by-step explanation:

Given:

Hypotenuse = 0.5 units

Let the length of shorter leg of right triangle be x units then

According to the given condition,

length of longer leg will be (0.1 + x) units

Now,we know for a right triangle,by Pythagoras theorem we have

substituting the values we get

Applying  we get

which is a quadratic equation

dividing the equation throughout by two we get

Since x cannot be negative we  take

x = 0.3 units

∴ Longer leg = x + 0.1

                     = 0.3+0.1

                     =0.4 units

So, the lengths of the sides of a right triangle are

Longer leg = 0.4 units.

Shorter leg = 0.3 units.

step-by-step explanation:

1.30

step-by-step explanation: