What is the length of the missing leg? (if you need a .enter sqrt, so for example 25 is 2sqrt5.) 12 ft ?

6sqrt2 ft

Step-by-step explanation:

45 + x + 90 = 180 (angle sum property)

x = 45

The sides opposite to equal angles of a triangle are equal.

hence,

Isosceles Right Triangle Formula

The most important formula associated with any right triangle is the Pythagorean theorem. According to this theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of the right triangle. Now, in an isosceles right triangle, the other two sides are congruent. Therefore, they are of the same length “l”. Thus, the hypotenuse measures h, then the Pythagorean theorem for isosceles right triangle would be:

(Hypotenuse)2 = (Side)2 + (Side)2

h² = l² + l²

h² = 2l²

12² = 2y²

144 =  2y²

72 = y²

√72 = y

2x3√2 = y

6√2 =y

6sqrt2 ft

6sqrt2 ft

Step-by-step explanation:

45 + x + 90 = 180 (angle sum property)

x = 45

The sides opposite to equal angles of a triangle are equal.

hence,

The most important formula associated with any right triangle is the Pythagorean theorem. According to this theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of the right triangle. Now, in an isosceles right triangle, the other two sides are congruent. Therefore, they are of the same length “l”. Thus, the hypotenuse measures h, then the Pythagorean theorem for isosceles right triangle would be:

(Hypotenuse)2 = (Side)2 + (Side)2

h² = l² + l²

h² = 2l²

12² = 2y²

144 =  2y²

72 = y²

√72 = y

2x3√2 = y

6√2 =y

6sqrt2 ft