Question

Each leg of a 45-45-90 triangle measures 12 cm. what is the length of the hypotenuse?

Answer 1

Hey there!!

The leg = 12 cm

Hypotenuse = ?

We will use the formula - a² + b² = c²

Where a and b are the legs and c is the hypotenuse

Now let's plug in the values

( 12 )² + ( 12 )² = c²

144 + 144 = c²

288 = c²

c = √288

c = √144 × √2

c = 12√2

Hypotenuse = 12√2

Hope my answer helps!

Answer 2

(D)

Explanation:

It is given that ZYX is a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as:

By using the Pythagoras theorem, we have

`(ZX)^(2)=(ZY)^(2)+(YX)^(2)`

Substituting the given values, we have

`(ZX)^2=(12)^2+(12)^2`

`(ZX)^2=144+144`

`(ZX)^2=288`

`ZX=12√(2)`

Thus, the length of the hypotenuse will be
`12√(2) cm`.

Hence, option D is correct.