Choose all situations that describe a right triangle.

A ladder 12 feet long leans against a wall. The top of the ladder is 8 feet above the ground. The bottom of the ladder is 6 feet from the wall.

A ladder 10 feet long leans against a wall. The top of the ladder is 6 feet above the ground. The bottom of the ladder is 8 feet from the wall.

A ladder 18 feet long leans against a wall. The top of the ladder is 9 feet above the ground. The bottom of the ladder is 12 feet from the wall.

A ladder 15 feet long leans against a wall. The top of the ladder is 12 feet above the ground. The bottom of the ladder is 9 feet from the wall.

We have a right triangle in cases 2 and 4

Step-by-step explanation:

In a right, we have to meet the condition of Pythagoras´ Theorem that is

L²  =  x²  +  y²        ( L is the hypotenuse and "x" and "y" the legs.

All the above descriptions have a right angle so we must check which of them meet Pythagoras´theorem requirement

1.-

(12)²  =  (8)² + (6)²     ⇒  144 > 64  + 36  so in this case we do not have a right triangle

2.-

(10)² = (6)² + (8)²    ⇒    100  = 36  + 64    We have here a description of a right triangle

3.-

(18)²  =  (9)²  + (12)²    ⇒  324  >  81 + 144    so in this case we do not have a right triangle

4.-

(15)²  =  (12)² + (9)²      ⇒ 225 = 144 + 81  We have here a description of a right triangle´

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

3x + 4y -25 =0 represents the amount of change sianna should recieve