Each leg of a 45°-45°-90° triangle measures 12 cm. what is the length of the hypotenuse? 6 cm cm 12 cm cm

Answer

16.97 cm

Explanation

A triangle having the angles 45°-45°-90° shows that it is an isosceles triangle.

The 2 legs are equal.

Using the Pythagoras theorem;

c² = a² + b²

Where a and b are the lengths of the legs and c is the hypotenuse.

c² = a² + b²

c² = 12² + 12²

    = 144 + 144

    = 288

c = √288

  = 16.97 cm

There is no correct answer in your choices. The length of the hypotenuse is 16.97 cm.

The Pythagorean theorem can only be applied to right triangles. The right triangle may have an isosceles triangle also if two smaller sides are of the same length. If a right triangle is isosceles then the triangle is called the right-isosceles triangle. The length of hypotenuse is 16.97 cm.

The side opposite to the equal angle of a triangle are equal therefore the angles 45°-45°-90° is an isosceles triangle.

Apply the Pythagoras theorem and solve it further.

Where a and b are the lengths of the legs and c is the hypotenuse.

Thus,

The length of the hypotenuse is 16.97 cm.

To know more about an isosceles triangle, please refer to the link:

link

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: