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

Answer:

(D)

Step-by-step 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

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

$(ZX)^2=144+144$

$(ZX)^2=288$

$ZX=12\sqrt{2}$

Thus, the length of the hypotenuse will be $12\sqrt{2} cm$.

Hence, option D is correct.